Question

Write a linear cost function for the following situation. Identify all variables used.A ski resort charges a snowboard rental fee of $20 plus $5.50 per hour.GLEEDIdentify 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 number of snowboards that can be rented for t dollars.C. C(t) represents the cost for renting t snowboards.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.)

Answer 1

GIVEN:

We are told that a ski resort charges a snowboard rental fee of $20 plus $5.50 per hour.

Required;

Select the correct option to represent the meaning of C(t).

Also, write a linear function for the situation;

Step-by-step solution;

For the rental per hour, a fee of $5.50 is charged, which means for t number of hours, the rental would be 5.50 times t or, 5.50t. Note also that a fixed rental fee of $20 is already included regardless of how many hours rental is paid. This now means the rental would be $20 plus $5.50t.

Note that the variable t represents how many hours the snowboard was rented for. Therefore, we have;

ANSWER:

Option D:

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

A linear cost function for the situation is;

`C(t)=20+5.50t`