Question

Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cost of lessons for a student per hour is $25.

If h represents the number of hours a student spends in lessons, which equation can be used to find the value of h?

Answer 1

The first one should be right. Since the teacher is charging $15 per hour of the piano lesson then it can't be any of the answers of $100h. The answer can't be C, the third one, since you're adding the enrollment fee to the cost of every piano lesson it would be wrong to subtract the $100. Hope that helps

Answer 2

Equation can be used to find the value of h from the given average cost is equals to $\ 25 = \frac{\ 100 + \ 15h}{h}$.

What is average?

" Average is defined as the ratio of sum of all the given numbers to the total number of numbers."

According to the question,

Enrollment fees for each student = $100

Charges of piano lesson per hour for each student =  $15

Therefore,

Charges of piano lesson per 'h' hour for each student =  $15h

Total charges for h hours  = $100 + $15h

Average cost for per hour for each student = $\frac{\ 100+\ 15h}{h}$                   ___(1)

Average cost of lessons for a student per hour = $25                  ____(2)

Equate equation (1) and (2) to get value of h,

$\ 25 = \frac{\ 100 + \ 15h}{h}$

Hence, equation can be used to find the value of h from the given average cost is equals to $\ 25 = \frac{\ 100 + \ 15h}{h}$.

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