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A car rental company charges an initial fee plus an additional fee for each mile driven. The charge depends on the type of car: economy or luxury.Let C be how much more it costs to rent a luxury car than an economy car (in dollars). Write an equation relating C to M. Simplify your answer as muchas possible..dollars) to rent a luxury car is given by the function L = 19.30 + 1.15MThe charge E (in dollars) to rent an economy car is given by the function E = 10.95 + 0.80M where M is the number of miles driven. The charge L (in

Respuesta :

Answer:

[tex]\boxed{C=0.35M+8.35}[/tex]

Explanation:

Step 1. The expression of the charge E for renting an economy car is:

[tex]E=10.95+0.80M[/tex]

And the expression of the charge L to rent a luxury car is:

[tex]L=19.30+1.15M[/tex]

Step 2. Let C be the difference between renting a Luxury car and renting an economy car --> C is how much more it costs to rent a luxury car than an economy car.

We represent C in terms of E and L as follows:

[tex]C=L-E[/tex]

Step 3. Substitute the known expressions for L and E into the previous equation:

[tex]C=19.30+1.15M-(10.95+0.80M)[/tex]

Step 4. Simplify:

[tex]C=19.30+1.15M-10.95-0.80M[/tex]

Step 5. Combine the like terms.

We combine the terms that contain M and the independent terms:

[tex]\boxed{C=0.35M+8.35}[/tex]

Answer:

[tex]\boxed{C=0.35M+8.35}[/tex]

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