Acar 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

C = 20.65 + 0.65M