A couple wants to rent a car for one day while on vacation. Frank's Automotive Rental wants $29 a day and $0.17 per mile, while Coups-For--Day wants $21 a day and $0.19 per mile . After how many miles wo9uld the price from Coups exceed the price to rent from Franks?
Find x, the distance in miles, such that:
21 + 0.19 x > 29 + 0.17 x
To find out after how many miles the price from Coups exceeds the price to rent from Frank's, we need to set up an equation and solve for the number of miles.
Let's assume the number of miles is represented by 'm'.
The total cost to rent a car from Frank's Automotive Rental can be calculated using the formula:
Cost from Frank's = 29 (base rate) + 0.17*m (cost per mile)
Similarly, the total cost to rent a car from Coups-For-A-Day can be calculated using the formula:
Cost from Coups = 21 (base rate) + 0.19*m (cost per mile)
We need to find the point at which the cost from Coups exceeds the cost from Frank's, so we can set up the equation:
21 + 0.19m > 29 + 0.17m
Now, let's solve for 'm':
0.19m - 0.17m > 29 - 21
0.02m > 8
m > 8 / 0.02
m > 400
Therefore, the price from Coups would exceed the price to rent from Frank's after 400 miles.
You can advise the couple to choose Frank's if they expect to drive less than 400 miles, and Coups-For-A-Day if they plan to drive more than 400 miles.