Quiz about Analyzing a Linear Model to Make Predictions

Question 1

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

Accepted Answer

c = 2.75b + 4

Answer

c = 2.75b

Answer

c =  4b- 2.75

Answer

c = 2.75b - 4

Question 2

Which of the following situations could be descried by the equation y=120-25x?

Accepted Answer

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Answer

There are 120 people in the football stadium, and 25 more are entering each hour.

Answer

A plumber charges $25 for a house call and $120 per hour.

Answer

A teacher has 120 students. Her third period has 25 students

Question 3

Which statement below accurately represents the graph?

Accepted Answer

$500 is earned for every 8 hours worked

Answer

$100 is earned for each hour worked

Answer

$100 is earned for every 2 hours worked

Answer

$400 is earned for every 6 hours worked

Question 4

The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
h(s) = -3.8s + 290

Accepted Answer

236.8

Answer

80

Answer

-80

Answer

72.6

Question 5

The amount of water in the bucket ( in pints) can be modeled by the equation V(n) = 2n + 7 where n is the number of pitchers used to put water in the bucket.  If the bucket contains 29 pints of water, how many pitchers of water were used to fill it?

Accepted Answer

11

Answer

65

Answer

9

Answer

18

Question 6

The commission of a sales representative can be modeled by C(x) = 4n - 10, where n is the number of items sold.  If the sales representative sales 30 items, how much commission will they earn?

Accepted Answer

$110

Answer

$20

Answer

$120

Answer

$5

Question 7

The GPA of a student can be predicted using the equation
G(h) = 1.4h + 1.4 where h is the hours the student spends studying. How many hours did a student spend studying if they have a GPA of 4.2?

Accepted Answer

2

Answer

4

Answer

3

Answer

not enough information

Question 8

The GPA of a student can be predicted using the equation
G(h) = 1.4h + 1.4 where h is the hours the student spends studying. What is the expected GPA of a student that spends no hours studying?

Accepted Answer

1.4

Answer

2.4

Answer

not enough information

Answer

2.8

Question 9

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How much money is in the register before selling any tickets?

Accepted Answer

$125

Answer

$80

Answer

$205

Answer

$45

Question 10

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How many tickets must be sold to have $18,445 in the register?

Accepted Answer

229

Answer

233

Answer

92

Answer

119

Question 11

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, n, and the total fitness club membership, M?

Accepted Answer

M(n)=15n+80

Answer

M(n)=15n

Answer

M(n)=n+15

Answer

M(n)=80n+15

Question 12

The function defined by f(n) = 12n + 500
represents the total amount given to charity as a function of the number of students present at the event.
If the school would like to donate $3000 to its favorite charity, how many students will have to attend to make that happen?

Accepted Answer

209

Answer

229

Answer

219

Answer

239

Question 13

Asia is a salesperson for Quark Computer Company. Each month she earns $2500 as well as 1/6 of every sale she makes. What equation represents this situation?

Accepted Answer

C(s) = (1/6)s + 2500

Answer

C(s) = 6s - 2500

Answer

C(s) = 6s + 2500

Answer

C(s) = (1/6)s - 2500

Question 14

Asia is a salesperson for Quark Computer Company. Each month she earns $2500 as well as 1/6 of every sale she makes. How much did Asia make after 900 total sales?

Accepted Answer

$2650

Answer

$3100

Answer

$2950

Answer

$7900

Question 15

Asia is a salesperson for Quark Computer Company. Each month she earns $2500 as well as 1/6 of every sale she makes. How many sales did she make to earn $2700 last month?

Accepted Answer

1200

Answer

1150

Answer

1000

Answer

1250

Question 16

The value of a particular car model t years after its purchased is given by
V(t) = 25000-3000t
What does V(0) represent?

Accepted Answer

Purchase price of the car

Answer

Value after 1 year

Answer

Value after 1 week

Answer

Value after 1 month

Question 17

The value of a particular car model t years after its purchased is given by
V(t) = 25000-3000t
What is the cars value 6 years after it is purchased?

Accepted Answer

$7000

Answer

$6850

Answer

$7500

Answer

$8250

Question 18

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. How much does the tutor charge per hour?

Accepted Answer

$32 per hour

Answer

$20 per hour

Answer

$52 per hour

Answer

$12 per hour

Question 19

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. What does 20 represent in this model?

Accepted Answer

Flat fee to hire tutor

Answer

Price per hour

Answer

Maximum number of hour you can hire the tutor

Answer

I don't know what it means

Question 20

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. How many hour did the tutor work to earn $212?

Accepted Answer

6 hours

Answer

4 hours

Answer

5 hours

Answer

7 hours

Question 21

The scatter plot shows the number of visitors at an art show in relation to admission price. What does Point A on the graph represent?

Accepted Answer

When the ticket price was $15, 120 visitors attended the art show.

Answer

When the ticket price was $20, 200 visitors attended the art show.

Answer

When the ticket price was $30, 240 visitors attended the art show.

Answer

When the ticket price was $45, 300 visitors attended the art show.

Question 22

What is a scatter plot?

Accepted Answer

A display of points that shows the relationship between two sets of data

Answer

A table of measurement data used to construct a graph

Answer

A graph that has several different lines scattered on a coordinate plane

Answer

A graph that is nonlinear

Question 23

Yes or No
The scatter plot in shows a positive association.

Accepted Answer

No

Answer

Yes

Question 24

Yes or No
The scatter plot in shows a positive association.

Accepted Answer

Yes

Answer

No

Question 25

Yes or No
No association means the y-values increase as the x-values decrease.

Accepted Answer

No

Answer

Yes

Question 26

Yes or No
Scatter plots show the association between paired data.

Accepted Answer

Yes

Answer

No

Question 27

Which trend line is the best model of the data?

Accepted Answer

B

Answer

A

Answer

C

Question 28

Which type of association does the scatter plot show?

Accepted Answer

Nonlinear

Answer

Weak positive

Answer

Strong negative

Answer

Strong positive

Question 29

Use the scatter plot on the right to determine which of the following statements is true.

Accepted Answer

There is a strong positive linear association.

Answer

There is a weak negative association.

Answer

There are 3 gaps on the scatter plot.

Answer

There is an outlier at (75, 7).

Question 30

Which statement is true about using scatter plots to make predictions?

Accepted Answer

You can use the equation of a trend line to find the y-value of a given x-value.

Answer

You cannot make predictions by visually using the trend line.

Answer

Any two points can be used to draw a trend line.

Answer

All you need is the slope of the trend line.

Question 31

What are the slope and y-intercept of the graph? Round to the nearest tenth.

Accepted Answer

slope = 1.3; y-intercept = 2

Answer

slope = 1.5; y-intercept = 2

Answer

slope = 1.8; y-intercept = 2

Answer

slope = 2.2; y-intercept = 2

Question 32

What equation models the trend line?

Accepted Answer

y = 1.3x + 2

Answer

y = 1.8x + 2

Answer

y = 2.4x + 2

Answer

y = 3x + 2

Question 33

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table to the right. Which sport is more popular?

Accepted Answer

Baseball

Answer

Soccer

Question 34

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table to the right. Which sport is more popular?

Accepted Answer

Baseball

Answer

Soccer

Question 35

In slope intercept form (y=mx+b) what is the "m"?

Accepted Answer

The slope (rate of change)

Answer

The y-intercept

Answer

The x-intercept

Answer

A point

Question 36

In slope intercept form (y=mx+b) what is the "b"?

Accepted Answer

The y-intercept

Answer

The x-intercept

Answer

The slope (rate of change)

Answer

A point

Question 37

Which equation represents the following graph?

Accepted Answer

y = 2x + 3

Answer

y = 3x + 2

Answer

y = -2x + 3

Answer

y = -3x + 2

Question 38

What is the y-intercept in the equation?
y = 5x - 4

Accepted Answer

-4

Answer

5

Answer

-5

Answer

4

Question 39

What is the y-intercept in the equation?
y = (-2/3)x + 8

Accepted Answer

-4

Answer

5

Answer

-5

Answer

4

Question 40

Find the equation of the line in slope-intercept form.

Accepted Answer

y = 1/3x -3

Answer

y = - 1/4x - 3

Answer

y = 1/3x + 3

Answer

y = - 1/4x + 2

Question 41

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 42

What is the y-intercept for the given graph?

Accepted Answer

-1

Answer

-5

Answer

5

Answer

1

Question 43

Find the slope of the line that passes through the points (2, 4) and (6, 12)

Accepted Answer

2

Answer

1/2

Answer

-1/2

Answer

-2

Question 44

Find the slope of the line that passes through
(10, 1) and (5, 2)

Accepted Answer

-1/5

Answer

1/5

Answer

5

Answer

-5

Question 45

Find the slope of the line.

Accepted Answer

1/2

Answer

-1/2

Answer

2

Answer

-2

Question 46

Which is the graph of y=-x+2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 47

Which equation is being represented by this line?

Accepted Answer

y = -1x + 2

Answer

y = 1/2x + 2

Answer

y = 3x -4

Answer

y = -3x +2

Question 48

Identify the y-intercept for the function:
y=-3x

Accepted Answer

0

Answer

-3

Answer

1

Answer

-1

Question 49

What is the slope of the equation?
y = -3x + 4

Accepted Answer

-3

Answer

4

Answer

-4

Answer

3

Question 50

Given the equation y = 2x+3, what is the slope?

Accepted Answer

2

Answer

x

Answer

3

Answer

y

Question 51

Which of the following is in slope-intercept form?

Accepted Answer

y=10x-7

Answer

y-5=3(x-1)

Answer

5x-y=12

Answer

6x+2y-15=0

Question 52

Find the slope between the points
(8, 5) and (-9, 5)

Accepted Answer

Zero

Answer

Undefined

Answer

-10/17

Answer

-10/1

Question 53

Find the slope between the points
(-4, 3) and (-4, -7)

Accepted Answer

Undefined

Answer

5/4

Answer

-10/8

Answer

Zero

Question 54

Find the slope between the points
(9, 7) and (13, 14)

Accepted Answer

7/4

Answer

-4/7

Answer

2/1

Answer

Zero

Analyzing a Linear Model to Make Predictions

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