Question

Word problem help please

Answer 1

Answer:

C(M) = 0.65*M + 22.55

Step-by-step explanation:

We know that the cost to rent and drive for M miles is given by:

S(M) = 0.40*M + 17.75

And the insurance, also a function of M, is given by:

I(M) = 0.25*M + 4.80

We want to find the equation of the total cost for a rental that includes insurance.

This would be just the sum of the two above functions:

C(M) = S(M) + I(M)

C(M) = (0.40*M + 17.75) + (0.25*M + 4.80)

Now we just need to simplify this:

Taking M as a common factor, we get:

C(M) = (0.40 + 0.25)*M + 17.75 + 4.80

C(M) = 0.65*M + 22.55

Then the total cost equation, as a function of M, is given by:

C(M) = 0.65*M + 22.55