Question

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possibThe company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function I = 0.25M + 5.70 .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 givenfunction S = 0.50M + 16.95 , where M is the number of miles driven.

Answer 1

The function for the standard charge is given below as

`S=0.50M+16.95`

The function for the insurance charge is given below as

`I=0.25M+5.70`

Concept:

To figure out the total charge C that includes insurance, we will use the formula below

`C=S+I`

By substituting the functions, we will have

`\begin{gathered} C=S+I \\ C=0.50M+16.95+0.25M+5.70 \\ collect\text{ similar terms, we will have} \\ C=0.50M+0.25M+16.95+5.70 \\ C=0.75M+22.65 \end{gathered}`

Hence,

The equation connecting C to M is C = 0.75M + 22.65