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The 24/7 Truck Rental Company has been charging an initial rental fee of $29 plus $2.50 per hour for rental of their small trucks. After a change in pricing policy, the new fee will be $19 up front plus $3.25 per hour. After how many hours of renting the truck will the new plan be more expensive than the old plan

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Answer:

14 hours

Step-by-step explanation:

Old plan :

Initial fee =. $29

Hourly fee = $2.50

New plan :

Initial fee = $19

Hourly fee = 3.25

Let number of hours = x

When new plan will be more expensive than old plan :

19 + 3.25x > 29 + 2.50x

3.25x - 2.50x > 29 - 19

0.75x > 10

x > 10 / 0.75

x > 13.3333

After 14 hours

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