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Practice 4-2 Homework G1

Analyzing Patterns Using Tables and GraphsPractice

4-2Analyzing Patterns Using Tables and Graphs4-2Analyzing Patterns Using Tables and Graphs

1. a) Draw the next figure in the pattern.

b) Complete the table.

Figure Number of triangles

1 3

2 5

3 ________

4 ________

5 ________

6 ________

2. The table shows the relationship between the number of correct answers and the total points.

Correct Answer Total Points

3 9

5 15

7 21

9 27

What is the relationship suggested by the table?

❍ A. Square the number of correct answers to find the total points.

❍ B. Triple the number of correct answers to find the total points.

❍ C. Double the number of correct answers to find the total points.

❍ D. Subtract 2 from each correct answer to find the total points.

MGM12_WBK06_HWG_P04.indd 1 18/04/12 3:30 PM



3. Use the table to decide which graph shows the relationship between x and y.

❍ A.

❍ B.

❍ C.

❍ D.

4. Each hour, a passenger jet can travel 480 miles.Which graph shows the relationship between hours and miles?

❍ A.

❍ B.

❍ C.

❍ D.

5. The graph shows the relationship between age and percentage body fat in men. Which point falls on the graph?

❍ A. (45,28)

❍ B. (55, 28)

❍ C. (28, 45)

❍ D. (20, 28)

6. The graph shows the relationship between the number of weeks since a flower was planted and its height. Which points fall on the graph? Check all that apply.

❑ A. (4, 6)

❑ B. (6, 4)

❑ C. (2, 6)

❑ D. (4, 8)

x y

1 5

2 6

3 7

4 8

5 9

Jet Travel

Hours Miles

1 480

2 960

3 1,440

4 1,920




7. In the table as x increases by 1, the value of y increases by 5.

a) Complete the table.

x 0 1 2 3 4 5

y 0 5 10 ____ ____ ____

b) Which statement shows the relationship between x and y?

❍ A. Each value of y is 5 times the corresponding value of x.

❍ B. Each value of y is 5 greater than the corresponding value of x.

❍ C. Each value of y is 4 times the corresponding value of x.

❍ D. Each value of y is 4 greater than the corresponding value of x.

c) Use the table to choose the graph that shows the relationship between the x and y.

❍ A.

❍ B.

❍ C.

❍ D.




8. In a certain neighborhood, the front side of each house has 10 windows.


Counting Windows

Number of Houses Number of Windows

1 ________

2 ________

3 ________

b) Which statement expresses the relationship between the number of houses and the number of windows?

❍ A. The number of houses is 10 times the number of windows.

❍ B. The number of house is 9 times the total number of windows.

❍ C. The total number of windows is 9 times the number of houses.

❍ D. The total number of windows is 10 times the number of houses.

c) Use the table to choose the graph that shows the relationship between the number of houses and the number of windows.

❍ A.

❍ B.

❍ C.

9. What is the relationship suggested by the table?

❍ A. Add 4 to each value of B to get A.

❍ B. Multiply each value of A by 4 to get B.

❍ C. Add 4 to each value of A to get B.

❍ D. Multiply each value of B by 4 to get A.

A B

22 88

23 92

24 96

25 100

26 104




10. Reasoning The graph shows the relationship between years and the population of a certain town.

a) Which points fall on the graph? Check all that apply.

❑ A. (30, 900)

❑ B. (40, 1500)

❑ C. (40, 900)

❑ D. (900, 40)

b) What do the numbers for each point represent?

❍ A. The first number represents the number of years. The second number represents the population growth.

❍ B. The first number represents the number of people. The second number represents the population growth.

❍ C. The first number represents the number of people. The second number represents the number of years.

❍ D. The first number represents the number of years. The second number represents the number of people.

11. Error Analysis One student incorrectly graphed the relationship between x and y as shown below.

x y

200 213

202 215

204 217

206 219

a) Which graph shows the relationship between x and y?

❍ A.

❍ B.

❍ C.

❍ D.

b) What mistake did the student likely make?

❍ A. The student plotted each (x, y) point as (y, y).

❍ B. The student plotted each (x, y) point as (x, x).

❍ C. The student plotted each (x, y) point as (y, x).




12. The computer club sells bags of popcorn. As the number of bags sold increases by 1, the amount raised increases by $2.


b) The table shows the relationship between the number of bags sold and amount raised. Which statement expresses that relationship?

❍ A. The club raises $1 for each bag it sells.

❍ B. The club sells 2 bags for each dollar it raises.

❍ C. The club raises $2 for each bag it sells.

❍ D. The club sells 1 bag for each dollar it raises.

c) Which graph shows the relationship between the number of bags sold and amount raised?

❍ A. ❍ B. ❍ C.

d) How much does the club raise if it sells 60 bags?

13. Open-Ended The table shows a number relationship.

a) Draw four figures that suggest the number relationship shown in the table. Describe the relationship.

b) What is the value for B if the value for A is 6?

14. Estimation The graph shows the number of customers at a pizza place per week. Which points approximate points on the graph? Check all that apply.

❑ A. (51, 1100)

❑ B. (11, 845)

❑ C. (29, 800)

❑ D. (11, 800)

❑ E. (800, 51)

❑ F. (51, 800)

Popcorn Sales

Number of Bags Sold Amount Raised ($)

1 ________

2 ________

3 ________

4 ________

A B

1 11

2 22

3 33

4 44




15. Challenge The tables show the number of hours worked and the corresponding pay in dollars for two workers.

Worker A’s Pay

Hours 0 5 10 15

Pay ($) 0 48 96 144

Worker B’s Pay

Hours 0 4 8 12

Pay ($) 0 45 90 135

a) Which graph shows Worker A’s pay?

❍ A.

❍ B.

❍ C.

❍ D.

b) Which graph shows Worker B’s pay?

❍ A.

❍ B.

❍ C.

❍ D.

c) Which worker will have more pay for working 20 hours?




16. Challenge Students are selling wreaths for a fundraiser. Each wreath sells for $16.


Fundraiser

Wreaths Sold 5 10 15 20 25

Dollars Made 80 ________ 240 ________ ________

b) Which statement expresses the relationship between the number of wreaths sold and the number of dollars made in the table?

❍ A. The students sell 16 wreaths for each dollar made.

❍ B. The students sell 5 wreaths for each dollar made.

❍ C. The students make $16 for each wreath sold.

❍ D. The students make $5 for each wreath sold.

c) Which graph shows the relationship between the number of wreaths sold and dollars made?

❍ A.

❍ B.

❍ C.

❍ D.

d) How many wreaths must the students sell to make $640?

❍ A. 25

❍ B. 55

❍ C. 40

❍ D. 20



ANSWER KEY

Practice 4-2 Answer Key G9

1. a)

b) 791113

2. B

3. B

4. A

5. A

6. C, D

7. a) 152025

b) A

c) A

8. a) 102030

b) D

c) A

9. B

10. a) A, B

b) D

11. a) A

b) C

12. a) 2468

b) C

c) B

d) $120

13. a) Answers will vary

b) 66

14. A, B, C

15. a) B

b) B

c) Worker B

16. a) 160320400

b) C

c) C

d) C

Practice 4-2: Analyzing Patterns Using Tables and Graphs


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