Construct Linear Functions from Tables and Graphs

What is the initial value?

• 12

• 20

• 36

• 44

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

• 8

• 20

• 12

• 28

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

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

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

• 0 meters

• 2000 meters

• 2040 meters

• 2480 meters

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

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

Find the initial fee for the gym.

• $0

• $40

• $75

• $35

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

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.