SOLUTION: A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one day how many miles woul

Question 136939: A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one day how many miles would you need to drive to pay less by taking Rate 2?
These have been real doozies for me. Any help would be greatly appreciated. Thank you.
Found 2 solutions by vleith, stanbon:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
You have two payment options
and
You are asked to find out at which point the two options cost the same.

So if you go over 600 miles, the option where miles cost 7 cents apeice, will result in a lower total cost.
Graphically, the line that is 'above' the other line at any specific mileage is the more costly option

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one day how many miles would you need to drive to pay less by taking Rate 2?
-----------------------------
Rate 1: cost = 42 + 0.14x
Rate 2: cost = 84 + 0.07x
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INEQUALITY:
Rate 2 < Rate 1
84+0.07x < 42 +0.14x
42 < 0.07x
x > 700 miles
-------------
Rate2 will be less than Rate 1 if you drive more than 700 miles.
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Cheers,
Stan H.
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