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Shalnov [3]
3 years ago
12

A car rental company has two rental rates. Rate 1 is $81 per day plus $0.18 per mile. Rate 2 is $162 per day plus $0.09 per mile

. If you plan to rent for one day, what is the least number of miles above which you would pay less by taking Rate 2?
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

The least number of miles above which you would pay less by taking Rate 2 is 900 miles.

Step-by-step explanation:

A car rental company has two rental rates.

Rate 1 :

Rental per day =$81

Cost per mile = $0.18

Cost for x miles = $0.18x

Total cost for x miles  for 1 day=81+0.18x

Rate 2:

Rental per day =$162

Cost per mile = $0.09

Cost for x miles = $0.09x

Total cost for x miles  for 1 day=162+0.09x

We are supposed to find what is the least number of miles above which you would pay less by taking Rate 2

81+0.18x>162+0.09x\\0.18x-0.09x>162-81\\0.09x>81\\x>\frac{81}{0.09}\\x>900

Hence the least number of miles above which you would pay less by taking Rate 2 is 900 miles.

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Comment

The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r

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