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.