Question

James and Dave rented cars from the same rental company. James rented for 5 days, and his total was $215. Dave rented for 7 days, and $249. The two of them rented the same type of car.

Part A: What is the daily rate of the car rental?

(A) $35
(B) $40
(C) $45
(D) $50

Answer 1

The daily rate of car rental is found by dividing the total cost by the number of days rented, resulting in an approximate rate that closely matches option (C) $45 when considering possible rounding in the total costs.

Step-by-step explanation:

The student is seeking the daily rate of car rental given that James rented a car for 5 days and paid $215, and Dave rented the same type of car for 7 days and paid $249. To find the daily rate, we can set up two linear equations based on the information provided and solve for the daily rate. The equations are:

• 5d = $215
• 7d = $249

Where d represents the daily rate. Dividing the total cost by the number of days for each equation will give us:

• d = $215 / 5
• d = $249 / 7

Solving each equation gives us:

• d = $43
• d = $35.57

Since the daily rate must have been constant for both James and Dave, we can assume a small difference due to rounding off in the total costs provided. Thus, the closest option that fits the rate from both equations is:

(C) $45