Angel is buying ink for her printer. 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 total cost, t, for a single order of c
cartridges?
A. c = 26.94t
B. c = 18.99t + 7.95
C. t = 26.94c
D. t = 18.99c + 7.95

1 answer

To model the total cost \( t \) for a single order of \( c \) cartridges, we need to consider both the cost of the cartridges and the shipping fee.

The cost of the cartridges is given by the product of the number of cartridges \( c \) and the price per cartridge, which is \( 18.99 \). The shipping fee is a flat rate of \( 7.95 \).

Thus, the total cost \( t \) can be expressed as: \[ t = 18.99c + 7.95 \]

This matches option D.

So, the correct answer is: D. \( t = 18.99c + 7.95 \).