Question

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

Answer 1

`\boxed{C=0.35M+8.35}`

Step-by-step explanation:

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

`E=10.95+0.80M`

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

`L=19.30+1.15M`

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:

`C=L-E`

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

`C=19.30+1.15M-(10.95+0.80M)`

Step 4. Simplify:

`C=19.30+1.15M-10.95-0.80M`

Step 5. Combine the like terms.

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

`\boxed{C=0.35M+8.35}`

Answer:

`\boxed{C=0.35M+8.35}`