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.
The charge E (in dollars) to rent an economy car is given by the function =E+0.60M11.95, where M is the number of miles driven. The charge L (in dollars) to rent a luxury car is given by the function =L+1.25M21.40.

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 much as possible.

Respuesta :

Answer:

=C+3.23M42.20

Step-by-step explanation:

you add the multiple

The equation relating C to M is C = 0.65M  + 9.45

How to determine the equation of the function C?

From the question, we have:

  • E -> Economy
  • L -> Luxury
  • M is the number of miles driven
  • C is how much more to rent a luxury car than economy

The equations of the function are given as:

E = 0.60M + 11.95

L = 1.25M + 21.40

The function C is calculated using:

C = L - E

So, we have:

C =(1.25M + 21.40) - (0.60M + 11.95)

Open the brackets

C = 1.25M + 21.40 - 0.60M - 11.95

Collect like terms

C = 1.25M - 0.60M  + 21.40 - 11.95

Evaluate the like terms

C = 0.65M  + 9.45

Hence, the equation of the function C is C = 0.65M  + 9.45

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