LESSON Practice C Equations,Tables, and Graphs

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

1. The depth of a submarine is represented by the equation d 25m, where d is the depth in feet of the submarine after m minutes. Make a table and sketch a graph of the equation.

m 25m d 0 1 2 3 4

12345

25 50 75 100 125

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

x02589 y 1 1 4 7 8

y

10 8 6 4 2

4 4

x 2 4 6 8 10

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

y

5

x

4

y

3

2

1

x

4 2

2 4 6 8 10

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

39

Holt Mathematics

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

1. The depth of a submarine is represented by the equation d 25m, where d is the depth in feet of the submarine after m minutes. Make a table and sketch a graph of the equation.

m 25m d

0 25(0) 0 1 25(1) 25 2 25(2) 50 3 25(3) 75 4 25(4) 100

12345

25 50 75 100 125

2. Use the table to make a graph and to write an equation. x02589 y 1 1 4 7 8

yx1

y

10 8 6 4 2

4 4

x 2 4 6 8 10

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

y

5

4

3

2

1

x

x02468 y01234

y 0.5x

4 2

2 4 6 8 10

LESSON Reteach 3-5 Equations, Tables, and Graphs

Follow these steps to write an equation from its graph.

Step 1 Select points on the graph to make a table of values. Use the x-coordinate for the x-value and the y-coordinate for the y-value.

y 4 2

x

y

0

2

1

3

2

4

3

5

x

4 2 O

24

2

4

Step 2 Look for a pattern in the values that relates y to x.

Each value of y is 2 more than the value of x. Step 3 Use the pattern to write an equation.

x

y

022

123

224

325

yx2

Complete the table and find a pattern to write an equation of the graph.

1. x

y

y

0

4

10

1

5

9

2

6

8

3

7

7

2. x 0 1

y

4 4 45 246 347

6

5

4

3

2

1

x

3. Write the equation.

yx4

2 11 1 2 3 4 5 6

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

39

Holt Mathematics

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

40

Holt Mathematics

LESSON Challenge 3-5 Making the Curve

The graph of the function y x2 is called a parabola. To graph y x2, make a table of values. Plot the points

and then use a smooth curve to connect the points.

x

y

3

9

2

4

y

10 8 6

1

1

4

0

0

2

x

1

1

2

4

4 3 2 12 1 2 3 4

3

9

Complete the table and find a pattern to write an equation of the graph.

1. y x 2

y

x

y

3 9

2 4

2 4 3 2 1 1 2 3 4 x

1 1

4

0

0

6

8

1 1

10

2 4

3 9

2. y x 2 1

x

y

3 10

2

5

1

2

0

1

1

2

2

5

3 10

y

10

8

6

4

2

x

4 3 2 12 1 2 3 4

LESSON Problem Solving 3-5 Equations, Tables, and Graphs

Use the graph to answer Exercises 1?4. An aquarium tank is being drained. The graph shows the number of quarts of water, q, in the tank after m minutes. Write the correct answer.

1. How many quarts of water are in the tank before it is drained?

35 quarts

2. How many quarts of water are left in the tank after 2 minutes?

25 quarts

3. How long does it take until there are 10 quarts of water left in the tank?

5 min

Water (gallons)

30

20

10

0 12345678 Time (minutes)

4. How long does it take to drain the tank?

7 min

Use the graph to answer Exercises 5?7. The graph shows the distance, d, a hiker can hike in h hours. Choose the letter of the best answer.

5. How far can the hiker hike in

4 hours?

A 1 1 mi

C 8 mi

14 12

Distance (miles)

B 4 mi

D 12 mi

10

8

6

6. How long does it take the hiker to

4

hike 6 miles?

2

F 2 h

G 3h

H 4h J 18 h

0 123456 Time (hours)

7. Which equation represents the graph?

A d 3h

B d 1 h

C dh3 D dh3

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

41

Holt Mathematics

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

42

Holt Mathematics

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

62

Holt Mathematics

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