SOLUTION: I would appreciate help with the following question:
A car rental company offers two plans for renting a car.
Plan A: $35 per day and 10¢ per mile
Plan B: $45 per day with fre
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A car rental company offers two plans for renting a car.
Plan A: $35 per day and 10¢ per mile
Plan B: $45 per day with fre
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Question 710509: I would appreciate help with the following question:
A car rental company offers two plans for renting a car.
Plan A: $35 per day and 10¢ per mile
Plan B: $45 per day with free unlimited mileage
For what range of miles will plan B save you money?
uhm my guess would be 35+.10X > 45+X
but that gives me a negative number.
You can put this solution on YOUR website! Your guess (not a very good mathematical term) is almost correct except for the X on the right hand side of
(1) 35 + 0.10*X > 45 + X
It should be
(2) 35 + 0.10*X > 45, without the X because you get unlimited milage for $45. That is, in math terms it is independent of mileage X.
Solve (2) gives us
(3) 0.10*X > 45-35 or
(4) X/10 > 10 or
(5) X > 100
Answer: Plan B is better when you are going to travel more than 100 miles a day.
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