Question 1154023: Kim is starting a business tutoring students in math. She rents an office for 400$ per month and charge 40$ per hour per student.
write an equation to represent the total profit kim makes each week.
If kim has 15 students for one hour per week how much profit does she make in 1 week?
How many students per week would kim have to tutor for 1 hour in order to make 800$ per week?
Answer by ramkikk66(644)   (Show Source):
You can put this solution on YOUR website! Basic formula is
Profit = Revenue - Cost
Part 1)
Cost = $400 per month (the rental cost)
Let's assume that a month is 4 weeks, since the profit has to be calculated weekly.
So weekly cost = $400/4 = $100 (this is an approximation, in many rental offices the weekly rent would not be 1/4 of the monthly rent, but it is close)
Revenue for 1 week with 15 students at $40 per student = 15 * 40 = $600
So profit for 1 week = Weekly Revenue - weekly cost = $600 - $100 = $500
Ans = $500
Part 2)
If she has to make a profit of $800, her revenue has to be $800 + $100 = $900
(Revenue = Profit + cost)
To make $900 at $40 per hour, she has to tutor 900 / 40 = 22.5 or 23 students.
(Since no. of students cannot be a fraction, we round it up to the next higher number)
Ans = 23
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