10-1 tables and functions warm up warm up lesson presentation lesson presentation problem of the day...

10-1 Tables and Functions

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


Warm UpEvaluate each expression for the given value of the variable.

1. 4x – 1 for x = 2

2. 7y + 3 for y = 5

3. 8x + 2 for x = 6

4. 8y – 3 for y = 2

7

38

50

13


Problem of the Day

These are rits: 24042, 383, and 4994. These are not rits: 39239, 28, and 5505. Which of these are rits: 39883, 4040, and 101? Why?

101 is a rit because it is the same forward and backward


MA.6.A.3.6 Construct and analyze tables…and equations to describe linear functions…using both common language and algebraic notation.

Also MA.6.A.3.2

Sunshine State Standards


Vocabulary

functioninputoutput


A function is a rule that relates two quantities so that each input value corresponds exactly to one output value.


Check It Out: Example 1A

1815129y

106543x

Write an equation for a function that gives the values in the table. Use the equation to find the value of y for the indicated value of x.

?

y is 3 times xy = 3xy = 3(10)y = 30


Check It Out: Example 1B

17151311y

158765x


?

y is 1 more than 2 times xy = 2x + 1y = 2(15) + 1 = 30 + 1 = 31

10-1 Tables and Functions Additional Example 1: Writing Equations from

Function Tables

16131074y

1043210x

y is 3 times x plus 4.

y = 3x + 4

Compare x and y to find a pattern.Use the pattern to write an equation.

y = 3(10) + 4 Substitute 10 for x.

y = 30 + 4 = 34Use your rule to find y when x = 10.



You can write equations for functions that are described in words.


Additional Example 2: Translating Words into Math

The height of a painting is 7 times its width.

h = height of painting Choose variables for the equation.

h = 7w Write an equation.

Write an equation for the function. Tell what each variable you use represents.

w = width of painting


Check It Out: Example 2A

The height of a mirror is 4 times its width.


h = height of mirror

h = 4ww = width of mirror


Check It Out: Example 2B

A large pie costs $2 more than a small pie.


ℓ = large pie’s costs = small pie’s costℓ = 2 + s


The school choir tracked the number of tickets sold and the total amount of money received. They sold each ticket for the same price. They received $80 for 20 tickets, $88 for 22 tickets, and $108 for 27 tickets. Write an equation for the function.

11 Understand the Problem

The answer will be an equation that describes the relationship between the number of tickets sold and the money received.

Additional Example 3: Problem Solving Application


You can make a table to display the data.22 Make a Plan

Solve33

Let t be the number of tickets. Let m be the amount of money received.

1088880m

272220t

m is equal to 4 times t. Compare t and m.

m = 4t Write an equation.


Substitute the t and m values in the table to check that they are solutions of the equation m = 4t.

Look Back44

m = 4t (20, 80)

80 = 4 • 20?

80 = 80?

m = 4t (22, 88)

88 = 4 • 22?

88 = 88?

m = 4t (27, 108)

108 = 4 • 27?

108 = 108?


Check It Out: Example 3

The school band tracked the number of tickets sold and the total amount of money received. They sold each ticket for the same price. They received $60 for 20 tickets, $66 for 22 tickets, and $81 for 27 tickets. Write an equation forthe function.


816660m

272220t

m = 3t

Let t be the number of tickets. Let m be the amount of money received.

Check It Out: Example 3 continued


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


Lesson Quiz

1. Write an equation for a function that gives the

values in the table below. Use the equation to find

the value for y for the indicated value of x.

2. Write an equation for the function. Tell what

each variable you use represents. The height of a

round can is 2 times its radius.

h = 2r, where h is the height and r is the radius

y = 3x; 21 15930y

75310x


1. Identify an equation for a function that gives the values in the table below. Then, use the equation to find the value for y for the indicated value of x.

A. y = 4x + 8; 21

B. y = 7x – 7; 21

C. y = 4x + 8; 28

D. y = 7x – 7; 28



2. Identify an equation for the function. Tell what each variable you use represents.The width of a swimming pool is twice its depth.

A. w = 2d, where d is the width and w is the depth

B. , where w is the width and d is the depth

C. w = 2d, where w is the width and d is the depth

D. , where d is the width and w is the depth


10-1 tables and functions warm up warm up lesson presentation lesson presentation problem of the day...

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