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+18.950.40M , 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+5.700.25M . 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.

Question

04-03-2018
Mathematics

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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+18.950.40M , 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+5.700.25M . 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.

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Americ Americ · Answer 1 · 2018-03-05T00:25:52+01:00

So the total cost (C) would be equal to the standard charge (S) plus the insurance charge (I). You would plug in the numbers for each into an equation C= S + I.

Unfortunately, I do not understand the numbers given in the equation. There should be a variable for m (the number of miles driven). Although there is an m in the question, the numbers in front of it for the standard charge or insurance do not make sense to me. =I+5.700.25M and
=S+18.950.40M.

Example:
If I was 5.7 + 25m and S was 18.95 + 40m, the equation would look like:
C= S + I
C= 18.95 + 40m + 5.7 + 25m
C= 65m + 24.95

Thanks for asking for my help! Sorry I could not be of more help for you!! :(