Interpret Linear Functions

What is the rate of change in the equation?
y=8x+6

• 8

• 6

What is the initial value in this equation?
y=8x+6

• 8

• 6

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

• 50

• 125

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

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

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2

Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.

• y = 50 x + 12

• y = 50 + 12 x

• y = 62 x

• x = 50 + 12y

Which of the following intervals has the largest average rate of change?

• [13,14]

• [13, 17]

• [16, 17]

• [16, 19]

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant