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+15.750.40M

, 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+4.900.25M

.

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.

Hi. The terms of the standard charge and insurance charge equations are a little garbled, but it is possible to think that these are the right equations:

Standard charge, S = 15.75 + 0.40M, where 15.75 is the initial fee and 0.40 is the charge for each mile driven.

Insurance charge, I = 4.90 + 0.25M, where 4.90 also represents an initial fee and 0,25 a charge for each mile driven.

Then, the total cos, C = S + I = >

C = (15.75 + 0.40M) + (4.90 + 0.25M) which you can rearrange to show the like terms one next to each other = >

C = (15.75 + 4.90) + (0.40M + 0.25M), now add up the like terms=>

C = 20.65 + 0.65M which is the equation is the most simplified form

Answer: C = 20.65 + 0.65M