1 interest: investing money

11 Interest: Investing Money

Relating Units of Time 1. Becky has been working at a fl ower shop for 2.15 yr.

a) How long is this in weeks? Round up.

2.15 yr 3 wk/yr is about wk

b) How long is this in days? Round up.

2.15 yr 3 d/yr is about d

2. Write each length of time as a fraction of the unit given.

a) 6 d 5 365

yr c) 18 wk 5 yr

b) 35 d 5 yr d) 8 d 5 mo

Working with PercentsPercent means “out of 100.”1% is the same as 1 hundredth, or 1

100, or 0.01.

32% is the same as 32 hundredths, or 32100, or 0.32.

32.5% is between 32% and 33%. So, it is between 0.32 and 0.33.

Ones Tenths Hundredths Thousandths

0 3 2 5 32.5% 5 0.325

3. Write each percent as a decimal.

a) 9% 5 d) 4.8% 5

b) 25% 5 e) 11.9% 5

c) 79% 5 f ) 0.8% 5

4. Write each decimal as a percent.

a) 0.02 5 % d) 0.269 5 %

b) 0.58 5 % e) 0.005 5 %

c) 0.45 5 % f ) 0.152 5 %

The whole number part of the percent ends with the number of hundredths in the decimal.

Hint

To write a decimal as a percent, write the number of hundredths. 0.75 5 75%0.399 5 39.9%

Hint

Use1 yr (year) 5 365 d (days)

5 52 wk (weeks) 5 12 mo (months)

1 mo 5 30 d

Hint

1NEL Chapter 1 Interest: Investing Money

01_AW11_RES.indd 101_AW11_RES.indd 1 8/9/11 10:43:04 AM8/9/11 10:43:04 AM

5. Calculate each percent.

a) 10% of 280 5 c) 7.5% of 200 5

b) 6% of 275.5 5 d) 0.8% of 620 5

Multiplying Decimals and Fractions 6. Multiply.

a) 1.64 3 34

5 c) 1.98 3 7

52 5

b) 0.05 3 60

365 5 d) 4.453 3

512

5

Solving Equations 7. Solve for each variable.

a) 3s 1 11 5 35

3s 1 11 2 11 5 35 2 11

3s 5

s 5

c) 2 5 t5

2 4

b) 1.1d 5 44 d) 0.85 5 6.12

n

Calculating with ExponentsAn exponent shows how many times a number is multiplied by itself.

5(2)2 5 5 3 2 3 25 5 3 4

5(2)3 3 2 5 5(2)6

5 5 3 2 3 2 3 2 3 2 3 2 3 25 5 3 64

5(0.1 1 0.5)3 5 5 3 0.6 3 0.6 3 0.65 5 3 0.216

8. Calculate.

a) 5(3)2 5 d) 4(5)3 3 2 5

b) 8(2.3)5 5 e) 4.25(0.8)4 3 2 5

c) 2.8(1.8)4 5 f ) 7.62(1 1 0.1)5 5

10% of 280 means the same as 10% 3 280, or 0.1 3 280.

Hint

Multiplying a Decimal by a FractionTo multiply5.2 3 45, enter 5.2 3 4 4 5 5

Tech Tip

Square Key (x2)To calculate 5(2)2, enter 5 3 2 x2 5

Tech Tip

Exponent Key (yx)Use the exponent key for exponents other than 2. For 5(2)6, enter5 3 2 yx 6 5

Tech Tip

2NEL Apprenticeship and Workplace 11: Review of Essential Skills


22 Working with Graphs

Graphing Data 1. Shade bars on the bar graph to show the monthly ticket

sales. The fi rst bar is done for you.

Month

Number of Tickets Sold

Num

ber

so

ld

Jan. Feb. Mar. Apr.

200

400

600

800

0 May

Number of Tickets Sold

Month Number sold

January 750

February 500

March 400

April 650

May 325

2. Plot points on the grid to show the total amount of money raised for a school trip. The fi rst point is plotted for you.Join the points.

0

Amount of Money Raisedfor School Trip

Tota

l am

oun

t ra

ised

Week

400

800

1200

1600

1 2 3 4 5 6 7 8 9 10

Amount of Money Raised for a School Trip

WeekTotal amount

raised ($)

1 200

2 400

3 500

4 600

5 900

6 1000

7 1100

8 1200

9 1200

10 1400

3NEL Chapter 2 Working with Graphs


Reading Graphs 3. Matt counted the number of customers

in a store each hour, from opening time until closing time.

a) About how many customers were in the store at 10 a.m.?

b) About how many customers were in the store at 1 p.m.?

c) At what time were there about 45 customers in the store?

d) At what time were the most customers in the store?

4. Anna, Ben, Candace, and Dan ran for student-council president. The graph shows the election results.• Use the graph to estimate what

percent of the students voted for each person.

• Record your estimates in the chart below.

• Check to make sure that your total is 100%.

• Explain how you used a fraction to estimate each percent.

Anna Ben Candace Dan

Estimated percent % % % %

How I estimated

10 a.

m.

12 p

.m.

2 p.m

.

4 p.m

.

6 p.m

.

8 p.m

.

10 p

.m.

Customers in a Store

Num

ber

of

cust

om

ers

Time

20

0

40

60

80

Dan

Candace

Ben

Anna

Percent of Votes inSchool Election

To estimate percents on a circle graph, compare the parts with benchmark fractions or decimals. Examples of benchmarks are 12 or 50%,14 or 25%, and13 or about 33%.

Hint



Units of Measurement 1. Match each object to the amount of space it could cover.

beach towel about 1 sq ft

ruler about 2 m2

tablecloth about 15 cm2

bathroom scale about 12 sq in.

pen about 1 sq yd

Working with Polygons 2. The area of a polygon is the number of square units of space

that it covers. Name each polygon, and determine its area.

a) 6 m

3 m

Name of polygon:

Area 5 m 3 m

5 m2

c) 2.1 ft

4.2 ft

4.7 ft

Name of polygon:

Area 5

5

b)

7 in.14 in.

Name of polygon:

Area 5

5

d) 12 cm

5 cm

5 cm

Name of polygon:

Area 5

5

Surface Area

Units of Measurem1 Match each objec

S33Suppose you cut apart this square and then put the pieces together to make a new shape. The new shape would still cover 1 sq ft.

1 ft

1 ft

Hint

areas of polygons rectangle

A 5 (length)(width) 5 lw

w

l

triangle

A 5 12

(base)(height)

5 12

bh

h

b

parallelogram

A 5 bh

h

b

trapezoid

A 5 12

(b 1 B)h

h

B

b

5NEL Chapter 3 Surface Area


Working with Circles 3. Use the formulas at the right. If your calculator does not have

a key for p, use 3.14 as an estimate for p.

a) Determine the circumference, to the nearest whole unit.

4.5 m

diameter 5 m

C 5 3 m

5 m,

or about m

b) Determine the area, to the nearest whole unit.

10 in.

radius 5 in.

A 5 3 ( in.)2

5 sq in.,

or about sq in.

Using the Pythagorean TheoremThe Pythagorean theorem can be used for right triangles.

Pythagorean theorem: Suppose you drew a square on each side of a right triangle. You could exactly cover the square on the longest side by combining the areas of the squares on the two shorter sides.

Suppose you knew the lengths of two sides of a right triangle. You could use this formula to calculate the length of the third side.

4. Use the Pythagorean theorem to calculate the unknown side length. Label each length on the diagram, to one decimal place.

(6 m)2 1 (8 m)2 5 c2

m2 1 m2 5 c2

m2 5 c2

" m2 5 "c2

m 5 c

a2 � b2 � c2

a c

b

c

6 m

8 m

circle formulas

radius

diameter

circumference

C 5 p 3 (diameter)or C 5 2p 3 (radius)

area

A 5 p 3 (radius)2

The square root of a number is the side length of a square whose area is the number. For example: !9 5 3 because a square with an area of 9 square units has sides that are 3 units long (3 3 3 5 9).

Hint



Units of Measurement 1. Draw a line to match each volume to an object.

5 cu ft semi-trailer for a truck

60 m3 suitcase

12 cu yd softball

30 cu in. full tube of toothpaste

120 cm3 load of dirt in a dump truck

2. Draw a line to match each capacity to a container.

10 gal soup bowl

80 L hot-water tank

15 mL cooking pot

2 c aquarium

1 qt spoon

Calculating Volume 3. Calculate the volume.

a)

6 ft 3 ft

2 ft

b)

6.4 cm

7 cm

V 5 (Abase)(h) V 5 (Abase)(h)

5 ( ft 3 ft)( ft) 5 pr2(h)

5 cu ft 5 p( cm)2( cm)

5 cm3

Volume and Capacity

Units of Measurem1. Draw a line to ma

V44

Volume measures the space that an object occupies.

Hint

Capacity measures the amount that a container can hold.

Hint

For prisms and cylinders: Volume 5 (area of base)(height)

Hint

7NEL Chapter 4 Volume and Capacity


Multiplying with Fractions 4. Multiply.

a) 12

(2.8 cm)(3.5 cm)(2 cm) 5 12

( cm3)

5 cm3

b) a34

ydb a23

ydb 5 3 3 24 3 3

sq yd

5

sq yd

5

sq yd

c) 78

mi 334

mi 5 3

3 sq mi

5

sq mi

d) a23

ftb a612

ftb 5 3

3 sq ft

5

sq ft

5

sq ft

Working with Capacity 5. Complete each sentence.

a) You can pour pt into a 1 gal container.

b) You can pour mL into a 1 L container.

c) You can pour c into a 1 qt container.

d) You can pour c into a 2 gal container.

Multiplying by 12 gives the same result as dividing by 2.

Hint

To multiply two fractions, multiply the numerators and multiply the denominators.45

356

54 3 55 3 6

52030

523

To multiply by a mixed number, write the mixed number as an improper fraction.

412

334

592

334

59 3 32 3 4

5278

5 338

Hint

Use the charts inside the back cover of the Workbook.

Hint



Interest: Borrowing Money

Working with Money 1. Use mental math to estimate each amount, to the nearest

dollar.

a) 12 of $19.99 is about $ .

b) 13 of $30.25 is about $ .

c) 23 of $30.25 is about $ .

d) 14 of $99.50 is about $ .

e) 34 of $99.50 is about $ .

2. Use mental math to estimate each amount, to the nearest dollar.

a) 10% of $69.99 is about $ .

b) 25% of $79.98 is about $ .

c) 75% of $79.98 is about $ .

d) 33% of $2100 is about $ .

e) 20% of $2510 is about $ .

3. Evaluate to the nearest cent. Estimate to check that your answers make sense.

a) 18.5% 3 $2200 5

b) 17.6% 3 $20 000 5

c) 12.8% 3 $11 500 5

d) 9.25% 3 $42 000 5

e) 24.85% 3 $10 375 5

f) 32.75% 3 $59 729 5

4. Evaluate.

a) $1000 1 (6% of $1000) 5 $1000 1

5

b) $7500 1 (12% of $7500) 5 $7500 1

5

In

Working with Mon1 Use mental math

55

To calculate 14 of a number, divide by 4.To calculate 34 of a number, divide by 4 and multiply by 3.

Hint

10% 5 10100 or 1

10

20% 5 20100 or 15

25% 5 25100 or 14

33% 5 33100 or about 13

50% 5 50100 or 12

75% 5 75100 or 34

Hint

Multiplying with PercentsTo calculate 18.5% of $2200, enter18.5 % 3 2200 5 ,

or0.185 3 2200 5

Tech Tip

When working with money, round to the nearest cent after you have made the fi nal calculation.

Hint

9NEL Chapter 5 Interest: Borrowing Money


c) $3000 1 (16.2% of $3000) 5 $3000 1

5

Calculating with Exponents 5. Calculate. Round to the nearest hundredth.

a) 3.15 5 c) 5(1 1 0.08)4 5

b) (1 1 0.3)3 5 d) 3a1 10.0712

b10

5

Using Interest FormulasSimple interest: To calculate the amount of simple interest, I, earned on an investment, use

I 5 Prt

where P is the principal, r is the yearly interest rate, and t is the time in years.

6. Sophie invested $1000 in a guaranteed investment certifi cate for 3 yr. The interest rate is 1.8% per year. How much interest will Sophie earn?

I 5 Prt

5 $ 3 0.018/yr 3 3 yr

5 $

Sophie will earn $ in interest.

Compound interest: To calculate the value of an investment amount, A, earning compound interest, use

A 5 P(1 1 i)n

where A is the total value of the investment with interest, P is the principal, i is the interest per compounding period, and n is the number of compounding periods.

7. Max invested $1200 in a savings account. The account earns 2.3%/yr, compounded monthly. How much will Max’s investment be worth in 3 yr?

A 5 $1200a1 10.023

12b3312

5 $1200 ( )36

5 $

Max’s investment will be worth $ in 3 yr.

Multiplying Expressions in BracketsUse 3 to multiply expressions in brackets. For example, for 5(1 1 0.08)4, enter5 3 ( 1 1 0.08 ) yx 4 5

Tech Tip



Relating Decimals, Percents, and Fractions 1. Complete each row in the chart by expressing the same

number in different ways.

Decimal PercentFraction in

lowest terms

0.75 75%

75100

575 4 25

100 4 25

534

0.4

60%

18

Writing Ratios in Lowest TermsA ratio compares two numbers. A ratio is in lowest terms if the numbers have no common factors.

14 : 35 is not in lowest terms because 7 is a factor of both numbers.14 4 7 5 2 and 35 4 7 5 5 14 : 35 5 2 : 5, in lowest terms

2. Write each ratio in lowest terms.

a) 20 : 15 5 4 : d) 12 : 36 5

b) 3 : 18 5 e) 16 : 40 5

c) 50 : 40 5 f ) 42 : 24 5

Converting Measurements 3. a) 2.5 h 5 min c) 8 yd 5 ft

b) 2.1 km 5 m d) 0.2 L 5 mL

Slope and Rates

Relating Decimals1. Complete each ro

S6 6

To write a fraction in lowest terms, divide the numerator and the denominator by their greatest common factor.

Hint

Writing a ratio as a fraction can help you write it in lowest terms.

14 : 35 5 1435

5 25

5 2 : 5

Hint

Use the charts inside the back cover of the Workbook.

Hint

11NEL Chapter 6 Slope and Rates


Working with Integers

• Sometimes, it helps to think about what the operation means.3 3 (24) means “3 groups of (24).” 3 3 (24) 5 212

• Sometimes, it helps to think about opposites. 10 4 5 5 2, so 10 4 (25) must be the opposite. 10 4 (25) 5 22

• Sometimes, it helps to think about the related operation. For 214 4 (22), think about the related multiplication. 7 3 (22) 5 214, so 214 4 (22) 5 7

4. Multiply or divide.

a) 6 3 (23) 5 d) 224 4 8 5

b) 24 3 8 5 e) 30 4 (25) 5

c) 26 3 (27) 5 f ) 227 4 (23) 5

Think of a number line to subtract with integers.

When you multiply or divide two integers with the same sign, the result is positive.

3 3 4 5 1223 3 (24) 5 12

12 4 4 5 3212 4 (24) 5 3

Hint

tan A° 5oppositeadjacent

Hint

opp

osite

∠A

adjacent to ∠A

hypotenuse

A°

Move right to subtracta negative number.

Move left to subtracta positive number.

6543210�1�2�3�4�5�6

0 � 4 � �4 0 � (�4) � 4

5. Subtract.

a) 12 2 8 5 d) 4 2 (23) 5

b) 3 2 6 5 e) 210 2 (26) 5

c) 25 2 8 5 f ) 212 2 (215) 5

Calculating Tangents 6. Calculate the tangent for each angle of elevation.

a)

35 ft

x°

20 ft

b)

8 mt°

6 m

tan x° 5 tan t° 5



Using Equivalent RatiosA ratio compares two numbers. For example, 5 to 26, or 5 : 26, is the ratio of vowels to total letters in the alphabet.

Equivalent ratios describe the same relationship. Suppose that you wrote the alphabet twice. The ratio of vowels to total letters would be 10 : 52. The two ratios, 5 : 26 and 10 : 52, are equivalent ratios.

32 42

526

51052

5

265

1052

You get an equivalent ratio when you multiply or divide both terms in a ratio by the same number.

32 42

Sometimes, one number in a pair of equivalent ratios is missing.

16 : 40 5 ? : 10

To calculate the missing number, determine the factor that the numbers in one ratio are multiplied or divided by to get the other ratio.

44 34

1640

54

10 or

1640

54

10

44 34

1. Calculate the missing terms.

3 4

a) 6

24 5

12

b)5

40 5

8

3 4

Drawing Objects and Shapes

Using Equivalent A ratio compares two

D77

Use the given numbers to determine the multiplication or division factor.

Hint

13NEL Chapter 7 Drawing Objects and Shapes


2. Calculate the missing term.

a) 3 : 5 5 : 25 c)8

36 5

2

b) 1260

5 20

d) 12 : 15 5 : 5

Comparing Similar Shapes 3. Rectangle ABCD was enlarged to make

rectangle EFGH. The angles did not change.

All the side lengths of rectangle ABCD were multiplied by 2.

a) How long is HE?

b) How long is EF?

c) How long is GH?

d) The ratio of length : width for rectangle ABCD is 5 : 3. What is the ratio of length : width for rectangle EFGH? :

e) What is the ratio from Part d) in lowest terms?

:

Multiplying Mixed Numbers by Whole Numbers

Method 1: Multiply the whole numbers. Then multiply the fraction parts.

4 3 314

in. 5 (4 3 3 in.) 1 a4 314

in.b 5 12 in. 1 1 in. 5 13 in.

Method 2: Change the mixed number to a fraction.

4 3 314

in. 5 41

3 134

in.

54 3 131 3 4

in.

5524

in.

5 13 in.

3 m

A

B

? m

E

F

D

C

H

G

? m

5 m

314 is a mixed

number.

314 5 3 wholes

and 14

3 wholes 5 124 ,

so 314 5 12

4 1 14

5 134

134 is the fraction name for 31

4.

Hint

4. Multiply.

a) 5 3 218

in. 5 b) 2 3 612

ft 5

5 5

5 5



Adding and Subtracting with MoneyWhen you add or subtract money amounts on paper, line up the dollars and cents.

$126.75 14.001 7.60$148.35

1. Farida shares an apartment with a roommate. This chart shows the bills that she pays each month.

a) How much does Farida pay for her cellphone plus the Internet?

b) What are Farida’s total monthly expenses?

c) Farida earns $2500.00 per month. How much money is left after she pays her monthly expenses?

d) How could Farida use the money she has left after expenses? Estimate the cost for each item. Include an amount for monthly saving.

If there are no cents, write zeros after the decimal point. This keeps the numbers in line.

Managing Money

Adding and SubtraWhen you add or sub

M88

Dollars and CentsWhen you enter money numbers in a calculator, you do not need to enter “.00” if there are no cents.

Tech Tip

Monthly Expenses

rent $485.00

utilities $75.43

cellphone $45.00

Internet $35.26

food $375.00

bus pass $55.00

Farida’s Spending Plan

savings

Total

15NEL Chapter 8 Managing Money


Relating Percents to Decimals 2. Write each percent as a decimal.

a) 6% 5 c) 15% 5

b) 90% 5 d) 12.5% 5

3. Write each decimal as a percent.

a) 0.01 5 % c) 0.7 5 %

b) 0.45 5 % d) 0.152 5 %

Calculating Percents 4. Calculate.

a) 22% of $375 5 c) 2% of $1500 5

b) 63% of $1200 5 d) 37.5% of $92 5

To write a percent as a decimal, write the number of hundredths.9% 5 9 hundredths, or 0.0980% 5 80 hundredths, or 0.80, or 0.811.5% 5 11 hundredths 5 thousandths, or 0.115

Hint

Another way to calculate the percent of a number is to calculate 1% of the number. Then multiply by the percent you are determining. To calculate 11% of $150:

1% of $150 5 $150 4 100 5 $1.5011% of $150 5 11 3 $1.50 5 $16.50

Hint

Percents of Money AmountsCalculate 25% of $350. If your calculator has a % key, enter

350 3 25 % 5 , or 350 3 25 2nd % 5

If your calculator does not have a % key, enter

350 3 0.25, or 350 3 25 4 100 5

Tech Tip

5. The sale price of an electric guitar is 85% of $400. What is the sale price?

Calculating with Exponents An exponent shows how many times a number is multiplied by itself.

6(4)2 5 6(4)(4) 3(0.1 1 0.2)2 5 3(0.3)(0.3) 5 6(16) 5 3(0.09) 5 96 5 0.27

6. Calculate.

a) 2(7)2 5 c) 5(0.8)4 5

b) 7.2(1.1)5 5 d) 8.3(1 1 0.1)4 5



Using the Pythagorean TheoremIf you know the lengths of two sides of a right triangle, you can use the Pythagorean theorem to determine the length of the third side.

1. Use the Pythagorean theorem. Calculate the unknown side length. Label each length, to one decimal place.

a)

9 m

5 m

(9 m)2 1 (5 m)2 5 c2

m2 1 m2 5 c2

m2 5 c2

" m2 5 "c2

m 5 c

c)

3 in.

6 in.

(3 in.)2 1 (6 in.)2 5 c2

sq in. 1 sq in. 5 c2

sq in. 5 c2

" sq in. 5 "c2

in. 5 c

b) (4 cm)2 1 b2 5 (11 cm)2

16 cm2 1 b2 5 121 cm2

b2 5 121 cm2 2 cm2

b2 5 cm2

"b2 5 " cm2

b 5 cm

c

b

a

4 cm11 cm

Solving Right Triangle Problems

Using the PythagoIf you know the length

S99

Suppose that you know the lengths of a and c, but not the length of b. You can use b2 5 c2 2 a2.

Hint

a2 1 b2 5 c2

17NEL Chapter 9 Solving Right Triangle Problems


Using Trigonometric RatiosTrigonometric ratios work for right triangles. You can use trigonometric ratios to calculate side lengths and angle measures.

opp

osite

to

∠A

adjacent to ∠A

hypotenuse

25°A C

B

• In the triangle above, /A is 25°.• /B must be 65° since 25° 1 90° 1 65° 5 180°. • Every right triangle with a 25° angle has the same angles. • Triangles with the same angles are similar.• Similar triangles have the same side : side ratios.

2. a) Use side lengths to calculate each ratio in the chart below for the triangle at the right. Answer to four decimal places.

b) Calculate each ratio using the trig function keys on a calculator. Do your answers match?

Ratio a) Using side lengths b) Using a calculator

sin 35° 5opposite

hypotenuse7.0

12.2 ft 5 ft sin 35° 5

cos 35° 5adjacent

hypotenuse

tan 35° 5oppositeadjacent

3. a) Use a calculator. Enter the tangent of 35° that you calculated for Question 2. Then press tan21. What does your calculator show, to the nearest whole number?

b) What does this number tell you about the triangle?

12.2 ft7.0 ft

10.0 ft

Y

ZX35°

The three trigonometric ratios for ∠A are

sin A

5opposite

hypotenuse

cos A

5adjacent

hypotenuse

tan A

5oppositeadjacent

Hint

Inverse Trig FunctionsThe sin21, cos21, and tan21 keys are called inverse trig functions.

Tech Tip



Identifying and Extending Patterns 1. Describe each pattern.

a) 15, 18, 21, 24 …

The pattern starts with .

Each number is the number before it.

b) 92, 87, 82, 77 …



c) 2, 4, 8, 16 …



2. Write the next two terms in each pattern.

a) 40, 43, 46, 49, ,

b) 95, 91, 87, 83, ,

c) 6, 18, 54, 162, ,

d) 226, 201, 176, 151, ,

Making a Table of ValuesA table of values shows how two variables are related. Here, the amount of money earned increases by $15 for each hour worked.The following equation shows this relationship:

money earned 5 hours 3 $15

3. Complete the table of values for each relation.

a) y 5 x 1 4

x 0 1 2 3 4

y 4

c) y 5 2x 2 3

x 0 1 2 3 4

y

b) y 5 x 2 6

x 0 1 2 3 4

y 26

d) y 5 4x 1 3

x 0 3 6 9 12

y

Linear Relations

Identifying and Exten1 Describe each patter

Lin1010

Hours worked 0 1 2 3 4

Money earned $0 $15 $30 $45 $60

19NEL Chapter 10 Linear Relations


Plotting Patterns on a Coordinate GridAn ordered pair is a pair of numbers that describes a point on a coordinate grid. An example is (3, 22).

• The fi rst number describes the distance along the horizontal axis, or x-axis.

• The second number describes the distance along the vertical axis, or y-axis.

You can plot points on a coordinate grid to show a number pattern.

• If the pattern increases or decreases by the same amount each time, the points form a straight line.

• A pattern that makes a straight line is called a linear pattern.

4. Plot each pattern on the coordinate grid below. Join the points to form a line. Use a different colour for each pattern.

20 4 6�4�6 �2

x

y4

2

�2

�4

�8

�6

a) The fi rst point is (0, 22).

x 0 1 2 3 4

y 22 21 0 1 2

b) The fi rst point is (24, 26).

x 24 23 22 21 0

y 26 24 22 0 2

5. Which pattern in Question 4 is growing faster? How do you know?

2 4�2�4 0

�2

2

4y

(3,�2)

�4

x



1 interest: investing money

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