Question

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?

Answer 1

`c = 0.35 x + 24`

Explanation:

First, let's go over the information we have. We know that no matter what, Dr. W Sweet will charge a base fee of $24, and that for each additional mile, he will charge 35¢. Now let's make an equation reflecting this information:

cost = 35¢ (number of miles) + $24 (starting fee)

We can also write this like this:

`c = 0.35x + 24`

If you want to test this equation, put in a value for the x variable, like so:

Value: 25 miles

`c = 0.35(25) + 24 \\ c = 8.75 + 24 \\ c = 32.75`

For this situation, the cost will be $32.75. I hope this helps! If you have questions, comment on this response, I should write back reasonably quickly.