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=0.50M+1\$.75 , where is the number of miles driven The company also offers an option to insure the car against damage. The insurance charge (in dollars) is given by the function I = 0.25M + 5.80 Let C be the total charge (in dollars) for a rental that includes insuranceWrite an equation relating C to M. Simplify your answer as much as possible.

Answer 1

Okay, here we have this:

Considering the provided information, we are going to find the requested equation, so we obtain the following:

Then we can see that we must find the function that represents the total cost, therefore we have

Total cost=Standard charge+ Insurance charge

Replacing:

C=0.50M+15.75+0.25M+5.80

C=(0.50M+0.25M)+(15.75+5.80)

C=0.75M+21.55

Finally we obtain that the equation for the total charge is C=0.75M+21.55