write a linear cost function for the following situation. identify all variables used. a ski resort charges…

write a linear cost function for the following situation. identify all variables used. a ski resort charges a snowboard rental fee of $20 plus $8.25 per hour. identify all variables used. choose the correct answer below. 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 of renting a snowboard for t hours. c. c(t) represents the cost for renting t snowboards. 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.)
Answer
Explanation:
Step1: Identify fixed and variable costs
The fixed cost is the initial rental fee of $20. The variable cost is $8.25 per hour.
Step2: Define the cost - function formula
The general form of a linear cost function is $C(t)=a + bt$, where $a$ is the fixed cost and $b$ is the variable - cost per unit of the independent variable $t$. Here, $a = 20$ and $b=8.25$, and $t$ represents the number of hours. So $C(t)=20 + 8.25t$.
Step3: Identify the meaning of variables
$C(t)$ represents the total cost of renting a snowboard for $t$ hours.
Answer:
B. C(t) represents the cost of renting a snowboard for t hours. $C(t)=20 + 8.25t$