PAP Learning Target Review

Name_____________________________ Underline the independent variable once and the dependent variable twice. Then, determine the correlation. 1.

The distance you have driven is a function of the time you have been driving.

2.

The total cost of your meal is determined by the amount of people eating.

3.

The number of passes dropped in a football game determines the length of the game.

4.

The temperature of a hot cup of coffee is effected by the amount of time it’s been sitting out on the table.

Complete the following statements about time. Time is not always the independent variable. Usually, but not always. Create two scenarios so that time is the dependent variable. 5.

____________________________________ depends on ____________________________________ .

6.

____________________________________ is a function of ____________________________________ .

Linear vs. Non-Linear Complete the following tables. Assume they are linear. 7.

x y

3 7

5

6

13

12

Determine which person earns more money per hour. 9. Donna

# of 0 hours Total 25 Pay

4

5

8.

10

53 60 95

x y

10.

4

10

8

10 28

34

Kevin

# of 0 hours Total 50 Pay

4

5

10

70 75 100

PAP Learning Target Review

Name_____________________________ Determine whether the following tables are linear or non-linear. Show how you came to your conclusion. 11

12.

# of hours

Total Pay

40

0

15

3

50

3

90

6

140

4

115

10

220

7

190

# of hours

distance traveled

2

Determine whether the scenarios are linear or non-linear. Be sure to explain your reasoning. 13. Peter rolled a rock down a steep hill. In the first 3 seconds, the rock travelled 18 feet. In the next 2 seconds, the rock travelled 12 feet. In the final 5 seconds, the rock travelled 30 feet.

14.

Mark traveled from Frisco to Dallas (30 miles) in 45 minutes. Then, he drove to Weatherford (60 miles) in 60 minutes. Lastly, he drove back to Frisco (80 miles) in 1 hour and 20 minutes.

Domain & Range Determine the domain and range of the following graphs. 15.

17. Ο

Ο

• •

A

B

16.

C

−6 < x ≤ 4 0≤ y ≤8

D

Is the graph in #15 a functional relationship? Why or why not?

A

C

B

D

18.

Is the graph in #17 a functional relationship? Why or why not?

PAP Learning Target Review

Name_____________________________ Create your own graph (that is also a function) with the following domain and range. 19.

Pattern Building 1st Term

Use the following pattern for #20-25. 20.

5th Term

Complete the table for the pattern

Term #

1

# of blocks

3

2

3

5

7

11

13 21

21.

Explain why the pattern represents a linear function.

22.

Which expression represents the number of blocks in the nth term?

a.

3rd Term

n2 + 2n

b.

23. Show algebraically (or explain) how to find the total number of blocks in the 25th term.

n+2

c.

2n + 1

24. Show algebraically (or explain) how to find which term # contains 85 blocks.

d.

2n – 1

25. Show algebraically (or explain) why there is not a term # that contains 48 blocks.

PAP Learning Target Review

Name_____________________________

Function vs. Non-Function 26. Which of the following is a function?

{(−3,3), (−2,−5), (0,6), (5,5), (−3,7), (4,5) }

a.

-3

2

6

1

-5

b.

3

2

-3 6

3 5

1 4

0 5

5

Now, explain why the other three are not functions.

27.

Which of the following is not a function?

a)

b)

c)

Which of the following points, when deleted from the coordinate grid, will result in a relationship that represents a function? y

•A

2

O

•C 29.

X Y

d.

27.

28.

c.

•F •E 2

•Bx •D

A. B. C. D.

Point A Point B Point D Point F

Given that A = {(–6, 3), (0, 5), (–1, 5)} and that B = {(0, –3), (0, 3), (–4, 7), (4, 8)}, which relation is a function? A. A only

B. B only

C. both A and B

D. neither A nor B

PAP Learning Target Review

Name_____________________________

Multiple Choice Choose the best answer. 29. A group of middle school students are racing go-carts. All three grade levels (6th, 7th and 8th) must start at the same time, but for every grade level below 8th grade, students get an additional 20 meter head start. If all of the go-carts average 15 miles per hour, which equation best represents the relationship between total distance and time for a 6th grader?

a.

30.

b.

d.

The score you get for skating down the jumbo ramp is a function of the speed you are traveling. In this situation, what is the dependent variable? A. The score

31.

c.

B. The ramp

C. The speed

D. The function

Jenny babysits on the weekends. She gets paid an initial $6 per child and then $15 per hour. Which equation would represent the total amount, t, Jenny would get paid for working h hours for babysitting three children?

a.

b.

c.

d.

32. Which is always a correct conclusion about the quantities in the function y = 7x – 3? F) The value of the variable y is always greater than the value of the variable x. G) The variable y is always a negative integer. H) When the value of x is negative, the value of y is also negative. J) As the value of x increases, the value of y decreases.

33. Which is always an incorrect conclusion about the quantities in the function y = -4x +6? A) B) C) D)

All of the y values are even integers. As the value of x increases, the value of y decreases. When the value of x is positive, the value of y is negative. The value of y can be both positive and negative integers.

34. Bob calculated the total amount he paid to park in the parking garage at the airport, f(x), according to the function f(x) = 3.00 + 0.50(x – 1) The best interpretation for this function is that… F) G) H) J)

Bob paid $0.50 per hour for every hour he parked at the parking garage. Bob paid $3.50 per hour for every hour he parked at the parking garage. Bob paid $3.00 for the first hour and $0.50 for every hour after the first hour to park in the parking garage. Bob paid $3.50 for the first hour and $0.50 for every hour after the first hour to park in the parking garage.

PAP Learning Target Review

Name_____________________________ 35. The basketball team is going to sell mugs as their team fundraiser. They must pay $32 for the company to create the design with the school logo on the mugs and $4 per mug. II) What is a reasonable domain? a. all numbers b. all integers greater than or equal to 4 c. all integers greater than or equal to 32 d. all integers greater than or equal to 0

I) What is a reasonable range for this problem? a. all numbers b. integers greater than or equal to 4 c. integers greater than or equal to 32 d. integers greater than or equal to 0 III) Which equation describes the situation? a. c = 4m – 32 b. c = -32m c. c = 32m + 4 d. c = 4m + 32 IV) Fill in the table

36.

V) Graph

Directions: For what domain values is y < 0 ?

Domain: ________________________________________

Directions: Use the following graph to answer the question below.

Velocity (Speed)

37.

x

Seconds

Write the inequality(s) that represents the interval of time where the person in the graph is decreasing his/her speed.