Question

You are considering renting a car from two car rental companies. Proxy rental car company charges $0.32 per mile plus an $18 surcharge. YourPal rental company charges $0.36 per mile plus a surcharge of $12.

a. Write an equation that represents the cost of renting a car from Proxy.
b. Write an equation that represents the cost of renting a car from YourPal.
c. Which company offers a better deal for an 840-mile trip? (Show your reasoning)
a) a. Cost = 0.32x + 18; b. Cost = 0.36x + 12; c. Proxy offers a better deal.
b) a. Cost = 0.36x + 18; b. Cost = 0.32x + 12; c. YourPal offers a better deal.
c) a. Cost = 0.32x + 18; b. Cost = 0.36x + 12; c. Both companies offer the same deal.
d) a. Cost = 0.36x + 18; b. Cost = 0.32x + 12; c. Both companies offer the same deal.

Answer 1

The equation that represents the cost of renting a car from Proxy is Cost = 0.32x + 18. The equation that represents the cost of renting a car from YourPal is Cost = 0.36x + 12. Proxy offers a better deal for an 840-mile trip.

Step-by-step explanation:

The equation that represents the cost of renting a car from Proxy is Cost = 0.32x + 18. This equation takes into account the cost per mile, which is $0.32, and the $18 surcharge.

The equation that represents the cost of renting a car from YourPal is Cost = 0.36x + 12. This equation considers the cost per mile, which is $0.36, and the $12 surcharge.

To determine which company offers a better deal for an 840-mile trip, we can plug in the value of x (840) into both equations and compare the resulting costs. By doing so, we find that Proxy would charge $273.60 while YourPal would charge $309.60.

Therefore, Proxy offers a better deal for an 840-mile trip.