Nov
3
Please help solve and show break down?
Filed Under Rental Car
A car rental company has two rental rates. Rate 1 is $72 per day plus $0.16 per mile. Rate 2 is $144 per day plus $0.08 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?
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One week = 7 days. Let M = # miles you will drive.
Rate 1 = 72*7 + 0.16*M.
Rate 2 = 144*7 + 0.08*M.
Want Rate 2 to be cheaper than Rate 1.
Rate 2 Rate 1.
144*7 + 0.08*M 72*7 + 0.16*M.
144*7 – 72*7 0.16*M – 0.08*M.
72*7 0.08*M
72*7/0.08 M
Time to use your trusty calculator to evaluate 72*7/0.08…
That equals 6300.
So M 6300. That’s how many miles you will have to drive in order for Rate 2 to be cheaper than Rate 1.