Question

Please Help Me.

Austin is comparing the prices of two car rental companies. Company A charges $24 per day and an additional $25 as service charges. Company B charges $22 per day and an additional $40 as service charges.

Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. 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 car for 4 days? Justify your answer.

Part C: How much money is saved by using the services of Company A instead of Company B to rent a car for 6 days?

Answer 1

Part A:
company a: y = 24d + 25
company b: y = 22d + 40
(vairable d = time in days)
(y = cost)

Part B:
Company a:
y = 24 x (4) +25
y = 96 + 25 
y = 121
Company b:
y = 22 x (4) + 40
y = 88 + 40
y = 128
So Company A is the correct answer because it costs $121

Part C:
Company a:
y = 24 x (6) + 25 
y = 144 + 25 
y = 169
Company b:
y = 22 (6) + 40
y = 132 + 40
y = 172

172-169= $3 is saved