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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=0.40M+17.75, 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=0.25M+4.90. 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 :

Answer:

[tex]C=0.65M+22.65[/tex]

Step-by-step explanation:

The standard charge includes an initial fee and plus an addditional fee for each mile driven and is given by:

[tex]S=0.40M+17.75[/tex]

The insurance charge is given by:

[tex]I=0.25M+4.90[/tex]

So, the total charge C will be the sum of the standard charge S and the insurance charge I:

[tex]C=S+I[/tex]

Substitute:

[tex]C=(0.40M+17.75)+(0.25M+4.90)[/tex]

Rearrange:

[tex]C=(0.40M+0.25M)+(17.75+4.90)[/tex]

Add:

[tex]C=0.65M+22.65[/tex]

And we have acauired our equation relating C to M!