Question
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 single order of c cartridges?
A. c = 26.94t
B. c=18.991 +7.95
C. 126.94c
D. 118.99c+7.95
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
Answers
GPT-4o mini
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. \( t = 18.99c + 7.95 \)**.
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. \( t = 18.99c + 7.95 \)**.