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?

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

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

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step-by-step explanation:

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get