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1. Please turn in your BETTER DEAL page to the box.
2. Have your HOMEWORK out to be stamped.
3. Please be working on the graphing section of your SKILL
BUILDER.
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Name: ________________________________ Date: ______________________ Period: ____ Weekly Homework 8th 2 - 2 Show all of your work to get credit.
MONDAY
1. Ace Car Rentals charges $20 per day plus a $10 service charge to rent one of its compact cars. Write an equation in the form of y = mx + b, where the slope represents , the cost per day and find the cost of renting a car for 15 days.
2. Write an equation to represent the relationship shown in the table.
y = 20x + 10 y = 20(15) + 10
y = 310
+ 32
+ 4 ∆ 𝒚∆ 𝒙
=𝟑𝟐𝟒
∆ 𝒚∆ 𝒙
=𝟖𝒚=𝟖 𝒙+𝟑
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4(0) +2 2
4(1) +2 6
4(2) +2 10
4(3) +2 14
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EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He
does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months.
b. How much money will Zach have in his account after 10 months?#EX:
a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
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EXAMPLE: Zach has $50,000 in his bank account. Every month he spends $3,500. He
does not add money to the account. a. Write a linear model that shows how much money will be in the account after x months.
b. How much money will Zach have in his account after 10 months?#EX:
a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
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1. Conner has $25,000 in his bank account. Every month he spends $1,500. He does
not add money to the account. a. Write a linear model that shows how
much money will be in the account after x months.
b. How much money will Conner have in his account after 8 months?
#1: a.) Equation: ________________
b.) _________________
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2. Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. a. Write a linear model that represents
the height of the plant after x days. b. What will the height of the plant be
after 20 days?
#2: a.) Equation: ________________
b.) _________________
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3. Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson’s weight after x months.
b. After how many months will Mr. Thompson reach his goal weight of 220 pounds?
#3: a.) Equation: ________________
b.) _________________
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4. Paul opens a savings account with $350. He saves $150 per month. Assume that he
does not withdraw money or make any additional deposits.
a. Write a linear model that represents the total amount of money Paul deposits into
his account after x months. b. After how many months will Paul have
more than $2,000?
#4: a.) Equation: ________________
b.) _________________
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5. A cell phone plan costs $30 per month for unlimited calling plus $0.15 per text
message. a. Write a linear model that represents the monthly cost of this cell phone plan if the
user sends x text messages.
b. If you send 200 text messages, how much would you pay according to this cell
phone plan? #5: a.) Equation: ________________
b.) _________________
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6. A salesperson receives a base salary of $35,000 and a commission of 10% of the
total sales for the year. a. Write a linear model that shows the
salesperson’s total income based on total sales of x dollars.
b. If the salesperson sells $250,000 worth of merchandise, what is her total income
for the year, including her base salary?#6: a.) Equation: ________________
b.) _________________
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#1: a.) Equation: ________________
b.) _________________
x y
0
2
4
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#2: a.) Equation: ________________
b.) _________________
x y
0
5
10
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#3: a.) Equation: ________________
b.) _________________
x y
0
2
6
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#4: a.) Equation: ________________
b.) _________________
x y
0
5
10
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
Name: _________________________________________ Date: __________ Period: _______
Writing Equations of Lines
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#5: a.) Equation: ________________
b.) _________________
x y
0
50
100
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
#6: a.) Equation: ________________
b.) _________________
x y
0
50,000
100,000
c.) Complete the table using your equation.
d.) Graph the equation using m and b or ordered pairs.
CONCLUSION QUESTION: The graph shows the activity in a savings account.
a.) What was the amount of the initial deposit that started this savings account?_____________________
b.) Make a table of values from the graph.
c.) Find the slope and y-intercept of the graphed line. _____________________
Months in plan2 4 6
Amou
nt S
aved
($)
2000
4000months $
0
2
4
6
d.) Write an equation in slope-intercept form for the activity in this savings account.
e.) Explain the meaning of the slope in this graph.