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The amount of money Ricky charges for his lawn service varies directly with the number of hours it takes to complete the job. If Ricky charges $105 for a 3-hour job, how much money would he charge for a job that took 5 hours?

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Final answer:

Ricky would charge $175 for a 5-hour lawn service, calculated by determining his hourly rate of $35 from the given 3-hour service costing $105 and then multiplying by 5 hours.

Step-by-step explanation:

The amount Ricky charges for his lawn service varies directly with the number of hours it takes to complete the job.

If Ricky charges $105 for a 3-hour job, to find out how much he would charge for a 5-hour job, we need to first determine his hourly rate. Since the cost varies directly with the hours, we can use the proportion method:

$105 / 3 hours = x dollars / 5 hours

By solving this proportion, x, which represents the amount Ricky would charge for the 5-hour job, is calculated as follows:

x = ($105 / 3 hours) * 5 hours

x = $35 per hour * 5 hours

x = $175

So, Ricky would charge $175 for a job that takes 5 hours to complete.

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