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.

Question

Which linear function models the total cost, t, for single order of c cartridges?
A. c = 26.94t
B. c=18.991 +7.95
C. 126.94c
D. 118.99c+7.95

Answer 1

To determine the correct linear function that models 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.

1. Cost of the cartridges: Each cartridge costs $18.99, so the cost for \( c \) cartridges is \( 18.99c \).
2. Shipping fee: The flat rate shipping fee is $7.95.

The total cost \( t \) can thus be expressed as:

\[ t = 18.99c + 7.95 \]

Now, let's compare this with the options given:

A. \( c = 26.94t \) (not correctly formulated) B. \( c = 18.991 + 7.95 \) (not correctly formulated) C. \( 126.94c \) (not correctly formulated) D. \( t = 18.99c + 7.95 \) (this matches our derived formula)

The correct linear function that models the total cost is:

D. \( t = 18.99c + 7.95 \).