Quiz about Fitting a Linear Model to Data

Question 1

What is the equation of a line that has a slope of 3
and passes through the point (4, -5)

Accepted Answer

y + 5 = 3(x - 4)

Answer

y - 5 = 3 (x - 4)

Answer

y + 4 = 3 (x - 5)

Answer

y - 5 = 3(x + 4)

Question 2

The population of a town was 35,000 people this year, and is predicted to increase by 750 people each year from now on.  We can model this with y=35000+750x, where x is the number of years in the future, and y is the total population of the town.  How big is the town this year?

Accepted Answer

35,000 people

Answer

35, 750 people

Answer

0 people

Answer

350,000 people

Question 3

y=125 + 80x models the amount of money (y) in the register after selling x tickets. How much money does she have in the register before selling any tickets?

Accepted Answer

$125

Answer

$80

Answer

$205

Answer

$45

Question 4

The scatter plot below shows the average yearly consumption of bottled water by people in the United States starting in 1990.Using the line of best fit, predict the average consumption of bottled water in the year 2000?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. How much will the hire make working 10 hours?

Accepted Answer

$123.00

Answer

$100.00

Answer

$12.30

Answer

$200.00

Question 6

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. How much will the hire make working 80 hours?

Accepted Answer

$984.00

Answer

$123.00

Answer

$100.00

Answer

$500.00

Question 7

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. After how many hours will they earn $500?

Accepted Answer

40.6 hours

Answer

10.1 hours

Answer

22.5 hours

Answer

0.02 hours

Question 8

An employee earns $12.30 per hour, modeled by y=12.3x, where y is the total pay and x is the number of hours worked. After how many hours will they earn $5,000?

Accepted Answer

406 hours

Answer

101 hours

Answer

25 hours

Answer

0.2 hours

Question 9

The population of a town was 35,000 people this year, and is predicted to increase by 750 people each year from now on.  We can model this with y=35000+750x, where x is the number of years in the future, and y is the total population of the town.  How big is the town in 10 years?

Accepted Answer

42,500 people

Answer

35,000 people

Answer

420,500 people

Answer

4,250 people

Question 10

The GPA of a student can be predicted using the equation
y = 1.4 x + 1.4 where x 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 11

The GPA of a student can be predicted using the equation
y = 1.4 x + 1.4 where x 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 12

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

Accepted Answer

$110

Answer

$20

Answer

$120

Answer

$5

Question 13

The amount of water in the bucket ( in pints) can be modeled by the equation y = 2x + 7 where x 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 14

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?
y = -3.8x + 290

Accepted Answer

236.8

Answer

80

Answer

-80

Answer

72.6

Question 15

What is the slope of this line?

Accepted Answer

5/2

Answer

-5/2

Answer

2/5

Answer

-2/5

Question 16

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 17

Which statement best describes the information in the graph?

Accepted Answer

Taylor can write 25 words per minute

Answer

Taylor can write 6 words per minute

Answer

Taylor can write 50 words per minute

Answer

Taylor can write 150 words per minute

Question 18

What is the slope of this line?

Accepted Answer

-3/2

Answer

-2/3

Answer

3/2

Answer

2/3

Question 19

What is the slope of this line?

Accepted Answer

7/5

Answer

-5/7

Answer

-7/5

Answer

5/7

Question 20

What is the slope of this line?

Accepted Answer

$1/2 miles driven

Answer

$2/1 mile drive

Answer

2 miles driven/$1

Answer

1 mile driven/$2

Question 21

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

$200 is earned for every 3 hours worked

Question 22

At what rate did the rain fall?

Accepted Answer

2 cm per hour

Answer

¹/₄ cm per hour

Answer

¹/₂ cm per hour

Answer

4 cm per hour

Question 23

What is the equation of the line graphed?
(click question to see graph)

Accepted Answer

y = -25x + 15

Answer

y = -1x + 15

Answer

y = 15x - 1

Answer

y = 25x + 15

Question 24

Mr. Tory has $6 to spend at the game. He spends $1 for each bag of chips he buys. What equation can be used to describe this situation?

Accepted Answer

y = -1x + 6

Answer

y = 6x -1

Answer

y = 1x - 6

Answer

y = 1x - 6

Question 25

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Accepted Answer

y = 5x +20

Answer

y = 20x + 5

Question 26

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

Accepted Answer

y = 1.50x + 4

Answer

y = 4x + 1.50

Question 27

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?

Accepted Answer

$28 in 5 hours

Answer

$20 in 5 hours

Fitting a Linear Model to Data

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics