Question

Rent-A-Wreck rents cars for $50 a day, plus $0.25 per mile. Drive-A-Lemon rents cars
for $40 a day, plus $0.30 per mile.
Write a system of equations that best models the cost of renting a car from each
business. Let x represent the number of miles, and let y represent the cost
per dayInterpret the solution of the linear system in terms of the problem situation.
In what situations would you recommend renting a car from Rent-A-Wreck?

Answer 1

Equation for Rent a wreck should be y=0.25x+50 (Total cost = $0.25 per mile + $50 starting fee), and equation for Drive a lemon should be y=0.3x+40 (Total cost = $0.3 per mile + $40 starting fee).

You should rent from Rent a wreck if you're driving for more than 200 miles, because the cost from Rent a wreck is the same as Drive a lemon at x=200 ($100), and from that point on, as x increases, Rent a wreck will be cheaper than Drive a lemon

solution: (200,100)