Construct Linear Functions 5.3

1.

Multiple Choice

1 min

1 pt

What is the initial value?

12

20

36

44

2.

Multiple Choice

2 mins

1 pt

What is the cleaning cost per hour (slope)? (hrs are the x values)

8

20

12

28

3.

Multiple Choice

3 mins

1 pt

Write an equation for the cleaning cost, y, for the number of hours, x. Put in y = mx + b form.

y = 12x + 20

y = 20x + 8

y = 8x

y = 8x + 20

4.

Multiple Choice

3 mins

1 pt

The table shows a linear relationship between the distance Penelope is from the park as she walks to soccer practice. Find the rate of change. Hint: her distance is getting closer.

110 meters per minute

550 meters per minute

-110 meters per minute

550 meters per minute

5.

Multiple Choice

5 mins

1 pt

Find the initial value/distance. Hint: (0, y)

0 meters

2000 meters

2040 meters

2480 meters

6.

Multiple Choice

5 mins

1 pt

Write an equation for the line that represents Penelope's distance, y, from soccer practice after x minutes. Use y = mx + b.

y = -110x + 2480

y = 110x + 2000

y = -110x +2040

y = 5x +1930

7.

Multiple Choice

3 mins

1 pt

A gym charges an initial fee plus a monthly charge. Use the table to find the rate of change per month.

$75 per month

$55 per month

$45 per month

$35 per month

8.

Multiple Choice

3 mins

1 pt

Find the initial fee for the gym.

$0

$40

$75

$35

9.

Multiple Choice

3 mins

1 pt

Write an equation in y = mx + b form for the cost, y, to belong to the gym for x months.

y = 35x + 40

y = 40x + 35

y = 35 x + 70

y = 75x

10.

Multiple Choice

3 mins

1 pt

The total cost, y, for a member to see 5 movies, x, is $40 and the total cost to see 12 movies is $75. Assume the relationship is linear. Find the rate of change (slope).

$8 per movie

$5 per movie

$6.25 per movie

There is no constant rate of change.

11.

Multiple Choice

3 mins

1 pt

In the movie membership problem above, what is the initial fee to become a member?

$40

FREE

$35

$15

12.

Multiple Choice

3 mins

1 pt

Write an equation in y = mx + b for the movie membership above.

y = 15x + 5

y = 5x + 15

y = 5x + 40

y = 12x + 75

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