Question

A car rental companies standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge (in dollars) is given by the function , 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 . Let be the total charge (in dollars) for a rental that includes insurance. Write an equation relating to . Simplify your answer as much as possible.

Answer 1

C= 22.65 + 0.65M

Explanation:

The question isn't complete without values. Assuming the following is the complete 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=16.95+0.40M, where M is the number of miles driven.

The company also offers an insurance option to insure the car against damage. The insurance charge (in dollars) is given by the function I=5.70+0.25M.

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 possible

SOLUTION

Solving the question based on the above complete question:

Standard charge = S = 16.95 + 0.40M

M= number of miles

Insurance charge = I = 5.70 + 0.25M

C = total charge in dollars

Relationship between C and M:

Total charge = standard charge + insurance charge

C = S + I

C = (16.95+ 0.40M)+ (5.70 + 0.25M)

C= 16.95+ 5.7 + 0.40M + 0.25M

Collect like terms by adding together

C= 22.65 + 0.65M