Construct Functions to Model Linear Relationships

• 157.5

• 180.5

• 150.5

• A

• B

• C

• D

• A

• B

• C

• D

• 
  y=3/2​x+6​
  

• 
  y=1.5​x+6​
  

• all correct

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

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

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

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

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

Ashley is saving $18 that she earned for babysitting. She earns $7 every week for doing chores at home, which she also saves. Which function can be used to find t, the total amount of money Ashley will have saved at the end of w, weeks of doing chores?

• t = 7w + 18

• t = 18w + 7

• t = 25w

• t = 18w