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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+15.750.50M , where M is the number of miles driven. The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+3.700.25M . 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.

Respuesta :

SilverUnicorn
M = miles driven
S = standard charge = 15.75*0.50M
I = insurance charge = 3.70*0.25M
C = total charge

We're looking for total charge when someone pays for the standard charge, S, and the insurance charge, I, but we do not know the number of miles M. So,

C = S + M
= (15.75*0.50M) + (3.70*0.25M)
= 7.875M + 0.925M
= 8.8M

(But you may want to check your functions, as they were hard to read and may not be correct.)

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