Math

QuestionWrite a cost function for a ski resort charging \$20 plus \$4.25 per hour. Identify the variables used.

Studdy Solution

STEP 1

Assumptions1. The snowboard rental fee is 20..Thecostperhourofuseis20. . The cost per hour of use is 4.25.
3. The cost function, denoted as C(t)C(t), represents the total cost of renting a snowboard for tt hours.

STEP 2

We need to write a linear cost function for the given situation. A linear function has the form y=mx+by = mx + b, where mm is the slope (rate of change), xx is the independent variable, and bb is the y-intercept (initial value).
In this case, the cost per hour (4.25)istherateofchange,thenumberofhours(4.25) is the rate of change, the number of hours (t)istheindependentvariable,andtheinitialrentalfee() is the independent variable, and the initial rental fee (20) is the initial value.
So, the cost function can be written asC(t)=4.25t+20C(t) =4.25t +20

STEP 3

Now, let's identify all variables used in the cost function.
1. C(t)C(t) This is the dependent variable, representing the total cost of renting a snowboard for tt hours.
2. tt: This is the independent variable, representing the number of hours the snowboard is rented.

Given the options, the correct answer is. C(t)C(t) represents the cost of renting a snowboard for tt hours.

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