Question

write a linear cost function for the following situation. identify all variables used. a ski resort charges a snowboard rental fee of $40 plus $6.25 per hour. identify all variables used. choose the correct answer. a. c(t) represents the number of hours the snowboard was used after renting a snowboard for t dollars. b. c(t) represents the cost for renting t snowboards. c. c(t) represents the cost of renting a snowboard for t hours. d. c(t) represents the number of snowboards that can be rented for t dollars. a linear cost function for the situation is c(t)=□ (use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Define the cost components

The fixed cost (rental fee) is $40, and the variable cost is $6.25 per hour. Let \( t \) be the number of hours.

Step2: Form the linear cost function

A linear cost function has the form \( C(t) = \text{fixed cost} + \text{variable cost per unit} \times t \). So substituting the values, we get \( C(t) = 40 + 6.25t \).

Answer:

\( C(t) = 40 + 6.25t \)