Question

Jorge teaches the guitar. He charges each student and enrollment fee of $50 plus $20 per hour for guitar lessons. The average cost of lessons for a student per hour is $22. If h represents the number of hours a student spends in lessons, which equation can be used to find the value of h?

These are the choices to pick from:

Answer 1

A. $22 = $(50 + 20h) ÷ h, and the value of h = 25 hours

Explanation:

Since the enrollment fee is $50, it is a fixed cost irrespective of whether the students go to learn or not.

Again, as Jorge charges $20 per hour, it is a variable cost. If Jorge teaches h number of hours, total variable costs = $20 × h = $20h.

The total cost = total fixed cost + total variable cost = $50 + $20h

If h represents the number of hours a student spends in lessons, according to the question, the average cost, $22 = ($50 + $20h) ÷ h

or, $22h = $50 + $20h

or, $22h - $20h = $50

or, $2h = $50

or, h = $50 ÷ $2

Therefore, h = 25 hours.

Jorge teaches 25 hours lessons.