LESSON Practice C 3.2 For use with the lesson “Graph Linear ...

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Date ------------------------

Practice C LESSON

3.2

For use with the lesson "Graph Linear Equations"

Decide which of the two points lies on the graph of the line.

1. 5x 1 y 5 18

2. 7x 2 y 5 10

3. 6y 2 2x 5 14

a. (3, 3) b. (5, 7)

a. (2, 4) b. (2, 24)

a. (4, 5) b. (5, 4)

Solve the equation for y. 4. 29x 1 3y 5 15

5. x 2 6y 5 18

6. 2x 2 }14 y 5 5

Graph the equation. 7. 4x 2 y 5 1

\

2

[

2

8. 10x 2 5y 5 25

\

2

[

2

2

9. x 2 3y 5 2

\

22

[

2

10. y 5 2}12

\

[

11. x 5 10

\

22

[

2

12. 5x 2 2y 5 0

\

22

[

2

Graph the function with the given domain. Then identify the range of the function.

13. y 5 5x 2 3; domain: x r 0

14. y 5 6 2 4x; domain: x b 0

\

\

22

[

22

[

LESSON 3.2

Copyright ? Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Algebra 1

3-24 Chapter Resource Book

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Practice C LESSON

3.2

continued For use with the lesson "Graph Linear Equations"

15. y 5 22; domain: x b 23

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2 22 [

2

16. y 5 22x 1 5; domain: 22 b x b 6

\

2 [

2

2

Identify the range of the function with the given domain.

17. 4x 1 3y 5 210; domain: x r 21

18. 3x 2 6y 5 12; domain: x b 1

19. Paddle Boat Rental A rental shop at a lake rents paddle boats for $3 for each half-hour. The total cost c (in dollars) for renting a paddle boat for h half-hours is given by the function c 5 3h. Once you get to the rental shop, you figure you can rent the paddle boat for at most 4 hours. Graph the function and identify its domain and range. What is the most that you will pay for renting a paddle boat?

Cost (dollars)

F 24 20 16 12

8 4 0

0 1 2 3 4 5 6 7 8K Half-hours

20. Driving Home You are 420 miles from home and you are driving toward home at an average rate of 60 miles per hour. The distance d (in miles) away from home after t hours is given by the function d 5 420 2 60t. Graph the function and identify the domain and the range. Explain how you determined the domain and range.

Distance (miles)

G 500

400

300

200

100

0 0

1

2

3

4

5

6

7W

Hours

21. MP3 Player So far you have 5 songs stored on your MP3 player that take up 16 megabytes of space. The average song takes up to about 3 megabytes of space. The number of megabytes of songs you can store on your player is given by the function m 5 16 1 3s where s is the number of songs and m is the number of megabytes.

a. Graph the function and identify its domain and range.

Space (megabytes)

P 30

25

20

15

0 0

1

2

3

4

5

6V

Number of songs

b. Identify the domain and range if your MP3 player can store at most 256 megabytes of music. How does this change the appearance of the graph? Explain.

c. Suppose your MP3 player can hold 512 megabytes of music. How do the domain and range of your function change?

Copyright ? Houghton Mifflin Harcourt Publishing Company. All rights reserved.

LESSON 3.2

Algebra 1

Chapter Resource Book 3-25

ANSWERS

Cost (dollars)

Lesson 3.2 Graph Linear Equations, continued

20. y b 2}83 21. y b 21

22.

Bicycle Rental F 50 40 30 20 10 0 0 1 2 3 4 5K

Hours

domain: 0 b h b 5; range: 0 b c b 40; $40

23. a.

Soil (cubic inches)

Plant Nursery V 4000 3000 2000 1000 0 0 40 80

Pots

120 S

domain: 0 b p b 128; range: 0 b s b 3456; 128 pots

b.

Plant Nursery

V 4000

3000

domain: 0 b p b 100;

range: 0 b s b 2700; 2700 in.3

Soil (cubic inches)

2000

1000

0 0

40 80 120 S

Pots

24.

Cost (dollars)

Apartment Lease

& 7000

6000

5000

4000

3000

2000

1000

0 0

2

4

6

8 10 12 P

Months

domain: m r 0; range: C r 700; Rent for one year: domain: 0 b m b 12; range: 700 b C b 6700; The original graph was a ray. By restricting the

domain, the graph becomes a line segment.

Practice C

1. a 2. a 3. b 4. y 5 3x 1 5

5. y 5 }16 x 2 3 6. y 5 8x 2 20

7.

\

2

[

8.

\

[

2

Algebra 1

A24 Chapter Resource Book

9.

\

2

[

2

11.

\

2 2

[

2

13. range: y r 23

\

22

[

10.

\

[

12.

\

2

[

2

14. range: y r 6

\

22

[

15. range: y 5 22

\

16. range: 27 b y b 9

\

2 22 [

2

2

[

2

2

17. y > 2} 134 18. y < 2}32

19.

Cost (dollars)

F 24 20 16 12

8 4 0

0 1 2 3 4 5 6 7 8K Half-hours

domain: 0 b h b 8 range: 0 b c b 24 $24

20.

Distance (miles)

G 500

400

300

200

100

0 0

1

2

3

4

5

6

7W

Hours

The moment before you left, the time is 0 and you have 420 miles to travel. When the distance is 0, you are home and it took you 7 hours. So the domain is 0 b t b 7 and the range is 0 b d b 420.

Copyright ? Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Copyright ? Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Lesson 3.2 Graph Linear Equations, continued

21. a.

Space (megabytes)

P 30

25

20

15

0 0

1

2

3

4

5

6

V

Number of songs

domain: s r 0 range: m r 16

b. domain: 0 b s b 80; range: 16 b m b 256; The original graph was a ray. By restricting the domain, the graph becomes a line segment. c. domain: 0 b s b 165 }13; range: 16 b m b 512

Study Guide

1. yes 2. no 3. yes

4.

\

[

5.

\

[

range: y r 23

Problem Solving Workshop:

Worked-Out Example

1. G

9

8

7

domain: 0btb1.25, range: 0bdb10; 1.25 hours

Distance (miles)

6

5

4

3

2

1

0 0 0.5 1.0 1.5 W

Time (hours)

2. 5

40

35

domain: 0b*b3, range: 0bRb45; $45

Revenue (dollars)

30

25

20

15

10

5

0 0 1 2 3 4 5

Number of lawns

Challenge Practice 1. $16 2. 2 dogs 3. 1 dog 4. at least 3 cars 5. 6 cars 6. 2 cars 7. at least 3 lawns 8. at

least 4 lawns 9. less than 2 lawns

Lesson 3.3 Graph Using Intercepts

Teaching Guide

1. Answers will vary. 2. Students whose coordinates are (1, 0) and (0, 1) should stand.

3. They form the graph of equation x 1 y 5 1. 4. Students whose coordinates are (0, 22) and (2, 0) should stand. They form the graph of equation x 2 y 5 2. 5. Sample answer: Find and plot the points where the graph of the equation crosses the axes. Connect the points to draw the line.

Practice A

1. x: 5; y: 5 2. x: 2; y: 23 3. x: 5; y: 2

4. x: 23, y: 1 5. x: 24, y: 23 6. x: 1, y: 5

7. x: 9 8. x: 4 9. x: 21 10. x: 5 11. x: 218 12. x: 7 13. x: 6 14. x: 25 15. x: } 190 16. y: 27 17. y: 211 18. y: 2 19. y: 6 20. y: 27

21. y: 8 22. y: 4 23. y: 3 24. y: 23

25.

\

26.

\

(0, 1)

(2, 0)

2

[

2

(0, 3) (24, 0) 22 [

27.

\

22

(3, 0) [

(0, 25)

28. C 29. B 30. A

31.

\

32.

(0, 6)

(26, 0)

22 [

33.

\

(0, 8)

(24, 0)

[

2

\

(3, 0)

[

(0, 23)

Algebra 1

Chapter Resource Book A25

ANSWERS

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