Construct Linear Functions

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

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

• 8

• 20

• 12

• 28

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

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. 

 

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between the number of lines (x) and the cost of the plan (y).

• y = 70x

• x = 70y

• y = 55 + 15x

• x = 55 + 15y

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation?

• y=5x+2

• y=2x-5

• y=5x-2

• y=2x+5