A car rental company charges $24 per day plus $0.75 per mile driven.

a) Let C = total cost; D = number of days and M = number of miles

b) Write the equation for the total cost in terms of C, D and M

c) Use the equation to determine the total cost for a customer who rented the car for seven days and drove four hundred sixty-three miles?

C = 24D + .75M

C = 24(7) + .75(463)
C = 168 + 347.25
C= 515.25

Thank you!!

a) Let's define the variables given in the question:

C = total cost
D = number of days
M = number of miles

b) Now, let's write the equation for the total cost in terms of C, D, and M based on the information provided:
Since the car rental company charges $24 per day, the cost for the number of days rented would be 24 * D.
Additionally, the company charges $0.75 per mile driven, so the cost for the number of miles driven would be 0.75 * M.

Therefore, the equation for the total cost (C) can be written as:
C = (24 * D) + (0.75 * M)

c) To determine the total cost for a customer who rented the car for seven days and drove four hundred sixty-three miles, substitute the values into the equation we derived in part b:

D = 7 (number of days rented)
M = 463 (number of miles driven)

C = (24 * 7) + (0.75 * 463)
C = 168 + 347.25
C ≈ 515.25

Therefore, the total cost for a customer who rented the car for seven days and drove 463 miles would be approximately $515.25.