Help me with this inequality problem.

Question

Company A charges $60 plus $0.15 per mile to rent a car. Company B charges $25 per day or portion of a day. Jason has determined that it will cost him less to rent a car from company A for a weekend trip. Is Jason’s conclusion accurate?

Answer 1

Company A:

m = # of miles driven

Cost_A = 60 + 0.15m

 

Company B:

d = # of days rented

Cost_B = 25d

 

Jason's conclusion:

Cost_A < Cost_B

60 + 0.15m < 25d

 

If a weekend is 3 days (Fri - Sat - Sun) then d = 3

60 + 0.15m < 25(3)

60 + 0.15m < 75

0.15m < 15

m < 10

 

Therefore, Jason's conclusion is accurate if a weekend is 3 days and he drives less than 10 miles.

If a weekend is 2 days or if Jason drives more than 10 miles, Jason's conclusion is inaccurate.