Question

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge (in dollars) is given by the function S = 0.50M + 14.95 where M is the number of miles driven The company also offers an option to insure the car against damageThe insurance charge (in dollars) is given by the function I = 0.25M + 3.70 be the total charge (in dollars) for a rental that includes insuranceWrite an equation relating to Simplify your answer as much as possible.

Answer 1

Step-by-step explanation

We are given the following:

`\begin{gathered} Standard\text{ }Charge(S)=0.50M+14.95 \\ Insurance\text{ }Charge(I)=0.25M+3.70 \end{gathered}`

We are required to determine the total charge (C) for a rental that includes insurance.

The total charge is calculated as:

`\begin{gathered} C=S+I \\ C=(0.50M+14.95)+(0.25M+3.70) \\ C=0.50M+14.95+0.25M+3.70 \\ C=0.50M+0.25M+14.95+3.70 \\ C=0.75M+18.65 \\ C=5(0.15M+3.73) \end{gathered}`

Hence, the answer is:

`\begin{gathered} C=0.75M+18.65 \\ C=5(0.15M+3.73) \end{gathered}`