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.

Question

16-02-2017
Mathematics

Answered

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.

Verified Answer :

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Edufirst Edufirst · Answer 1 · 2017-02-25T17:55:15-05:00

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

BrainyJanie88 BrainyJanie88 · Answer 2 · 2019-10-18T11:59:19-04:00

BrainyJanie88 BrainyJanie88

18-10-2019

Answer:

0.6

Step-by-step explanation:

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