LESSON Practice B Equations,Tables, and Graphs - WPMU DEV

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LESSON Practice B 3-5 Equations, Tables, and Graphs

1. The amount of water in a tank being filled is represented by the equation g 20m, where g is the number of gallons in the tank after m minutes. Make a table and sketch a graph of the equation.

Water (gallons)

m

20m

g

0

1

2

3

4

80 60 40 20

0 1234 Time (minutes)

2. Use the table to make a graph and to write an equation.

x 0 2 5 8 12 y 4 6 9 12 16

y

16 14 12 10

8 6 4 2

4 2O

x 2 4 6 8 10 12

3. Use the graph to make a table and to write an equation.

y

15

x

12

y

9

6

3

x

2 6

1 2 345

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

38

Holt Mathematics

LESSON Reading Strategies 3-4 Focus on Vocabulary

A function is a rule that relates two values, an input value and an output value. Each input value has exactly one output value.

The set of input values is called the domain. The set of output values is called the range.

This table of y x 1 shows input and output values for the function.

Input Value x 2 1 0 1 2

x 1 2 + 1 1 + 1 0 + 1 (1) + 1 (2) + 1

Output Value y 1 0 1 2 3

Answer each question. 1. What do you call a rule that relates two values? 2. What name is given to all input values? 3. What name is given to all output values? 4. Write the equation of the function described by the table. 5. Which variable in the equation stands for the range? 6. Which variable in the equation stands for the domain? 7. How many output values are there for each input value?

a function domain range y x 1

y x one

LESSON Puzzles, Twisters and Teasers 3-4 What's the Word?

Find and circle words from the list in the word search (horizontally, vertically or diagonally). Find a word that solves the riddle. Circle it and write it on the line.

function notation

input table

output graph

domain equation

range represent

R E P R E S E N T N ZWQ E T AB L E TGHYOXOEY SWN F G I N P U T C RQU GOAGPO I UY AGDUB J U I OE J HGF TRVAM DOMA I N L OP I A B T C CDOUT PUTHOPN I D F UNC T I ONRNHMOR ASDFGH J K L I OPNP

What can you keep after you give it to someone else?

Your

WORD

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

35

Holt Mathematics

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

36

Holt Mathematics

LESSON Practice A 3-5 Equations, Tables, and Graphs

1. A tub is being filled with water. The equation g 5m shows the number of gallons, g, in the tub after m minutes. Use the equation to complete the table. Then sketch a graph of the equation.

m

5m

g

0 5(0) 0

1 5(1) 5

2 5(2) 10

3 5(3) 15

4 5(4) 20

80 60 40 20

0 1234 Time (minutes)

Water (gallons) Water (gallons)

LESSON Practice B 3-5 Equations, Tables, and Graphs

1. The amount of water in a tank being filled is represented by the equation g 20m, where g is the number of gallons in the tank after m minutes. Make a table and sketch a graph of the equation.

m

20m

g

0 20(0) 0

1 20(1) 20

2 20(2) 40

3 20(3) 60

4 20(4) 80

80 60 40 20

0 1234 Time (minutes)

2. Use the table to make a graph and to write an equation. x02468 y 2 4 6 8 10

yx2

y

12 10

8 6 4 2

4 22O 4

x 2 4 6 8 10 12

2. Use the table to make a graph and to write an equation. x 0 2 5 8 12 y 4 6 9 12 16

yx4

y

16

14

12

10

8

6

4

2

x

4 2O 2 4 6 8 10 12

3. Use the graph to make a table and to write an equation.

y

5

x01234

4

y01234

3

2

1

x

yx

2 11O 2

1 2 345

3. Use the graph to make a table and to write an equation.

y

15

12

9

6

3

x

2 6

1 2 345

x01234 y 0 3 6 9 12

y 3x

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

37

Copyright ? by Holt, Rinehart and Winston.

Holt Mathematics

Copyright ? by Holt, Rinehart and Winston. All rights reserved.

61

38

Holt Mathematics

Holt Mathematics

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