The price that must be charged for a 1-hour tutoring session to produce this amount of revenue is 24.5 dollars
The first thing to do with word problem is to understand the question. After that, make analysis of the question.
It is given that a A private tutoring company charges $20 for a 1-hour session. Currently, 300 students are each tutored for an hour each week. Since the company is losing money, the owner has decided to increase the price. For each 50¢ increase, That is $20.5 for each students.
If she estimates that 5 fewer students will participate, that is, 295 students, and the company needs to bring in $6,210 per week to stay in business.
Let us assume that 1 hour per day. And there are 7 days in a week.
Divide the money by 7 to know the value per day
6210/7 = 887.14
Now, divide the amount per day by 250 students to know the amount per student per hour
887.14/295 = 3.007
The price that must be charged for a 1-hour tutoring session to produce this amount of revenue should be 20.5 + 4 = 24.5 dollars
Therefore, each student will pay $24.5 per hour
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