Marlow is comparing the prices of two truck rental companies. Company A charges $3 per hour and an additional $75 as service charges. Company B charges $2 per hour and an additional $85 as service charges. Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. Part B: Which company would charge less for renting a truck for 5 hours? Justify your answer. Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 3 hours?

Part A. The company A's charge can be equated as 3(x)+75 = y where x is the number of hours renting the truck and y is the total charge for renting a truck. The company B's charge can be equated as 2(x)+ 85 = y where x is the number of hours renting the truck and y is the total charge for renting a truck.

Part B. To know which company would charge less for renting a truck for 5 hours, substitute the value of x as 5.
Company A = 3(x)+ 75 = y
 3(5)+ 75= y
15 + 75= y
90 = y
Company A charges $90 for renting a truck for 5 hours.
Company B = 2(x)+ 85 = y
 2(5)+ 85 = y
10 + 85= y
95 = y
Company B charges $95 for renting a truck for 5 hours.
Therefore, Company A charges less compared to company B when renting a truck for 5 hours.

Part C. To solve for much money is saved by using the services of Company A instead of Company B to rent a truck for 3 hours, substitute the value of x as 3 then difference between the values of company A and B will be total money saved by using the services of Company A instead of Company B to rent a truck for 3 hours.
Company A = 3(x)+ 75 = y
3(3)+ 75 = y
9 +75 = y
84  = y
Company A charges $84 for renting a truck for 3 hours.
Company B = 2(x)+ 85 = y
 2(3)+ 85 = y
6 + 85= y
91 = y
Company B charges $91 for renting a truck for 3 hours.
$91- $84 = total money saved
$ 7 = total money saved by using the services of Company A instead of Company B to rent a truck for 3 hours.