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.

I added screenshots with the complete question as well as the available choices.

Answer:
25 = [tex] \frac{100+15h}{h} [/tex]

which is the first option

Explanation:
We given that:
He charges $100 as enrollment fees and $15 per hour
Given that the number of hours is h, the total cost for h hours will be:
cost = 100 + 15h ...........> I

We are also given that:
The average cost per hour is $25.
This means that:
[tex] \frac{cost}{hour} [/tex] = $25 ............> II

Divide both sides of equation I by h:
[tex] \frac{cost}{hour} [/tex] = [tex] \frac{100+15h}{h} [/tex]

Substitute with [tex] \frac{cost}{hour} [/tex] = 25 to get the equation used to solve for h as follows:
25 = [tex] \frac{100+15h}{h} [/tex]

Hope this helps :)