Question

A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function S = 15.75+0.50 M, where M is the number of miles driven. The company also offers an option to ensure the car against damage. The insurance charge I in dollars is given by the function I = 5.70+0.15 M. Let C be the total cost in dollars for a rental that includes insurance. Write an equation relating C to M.

Answer 1

`C\text{ = 0.65 M + 21.45}`

Step-by-step explanation:

Here, we want to write an equation that relates C to M

From the given question, we have to add the insurance to the standard charge to get the total cost

Mathematically:

`C\text{ = S + I}`

Now, we substitute the values for both S and I

That would be:

`\begin{gathered} C\text{ = 15.75 + 0.50M + 5.70 + 0.15 M} \\ C\text{ = 0.65M + 21.45} \end{gathered}`