Questions: Write a linear cost function for the following situation. Identify all variables used. A ski resort charges a snowboard rental fee of 40 plus 8.50 per hour. Identify all variables used. Choose the correct answer below. A. C(t) represents the cost for renting t snowboards. B. C(t) represents the number of snowboards that can be rented for t dollars. C. C(t) represents the number of hours the snowboard was used after renting a snowboard for t dollars. D. C(t) represents the cost of renting a snowboard for t hours. A linear cost function for the situation is C(t) = (Use integers or decimals for any numbers in the expression.)

Write a linear cost function for the following situation. Identify all variables used.
A ski resort charges a snowboard rental fee of 40 plus 8.50 per hour.

Identify all variables used. Choose the correct answer below.
A. C(t) represents the cost for renting t snowboards.
B. C(t) represents the number of snowboards that can be rented for t dollars.
C. C(t) represents the number of hours the snowboard was used after renting a snowboard for t dollars.
D. C(t) represents the cost of renting a snowboard for t hours.

A linear cost function for the situation is C(t) =
(Use integers or decimals for any numbers in the expression.)

Transcript text: Write a linear cost function for the following situation. Identify all variables used. A ski resort charges a snowboard rental fee of $\$ 40$ plus $\$ 8.50$ per hour. Identify all variables used. Choose the correct answer below. A. $C(t)$ represents the cost for renting $t$ snowboards. B. $\mathrm{C}(\mathrm{t})$ represents the number of snowboards that can be rented for $t$ dollars. C. $\mathrm{C}(\mathrm{t})$ represents the number of hours the snowboard was used after renting a snowboard for $t$ dollars. D. $\mathrm{C}(\mathrm{t})$ represents the cost of renting a snowboard for $t$ hours. A linear cost function for the situation is $C(t)=$ $\square$ (Use integers or decimals for any numbers in the expression.)

Solution

Solution Steps

Step 1: Identify the correct variable interpretation

The question asks to identify the correct interpretation of the variables. The correct interpretation is:

$ C(t) $ represents the cost of renting a snowboard for $ t $ hours.

This corresponds to option D.

Step 2: Write the linear cost function

The ski resort charges a fixed fee of \$40 plus \$8.50 per hour. The linear cost function is: \[ C(t) = 40 + 8.50t \] where:

$ C(t) $ is the total cost,
$ t $ is the number of hours the snowboard is rented.

Step 3: Verify the function

The function $ C(t) = 40 + 8.50t $ correctly represents the cost of renting a snowboard for $ t $ hours, with a fixed fee of \$40 and an additional \$8.50 per hour.