Bob's 9th-grade class is renting out a bowling alley for a party. The bowling alley charges a flat rate of $300, plus an additional $4 per student. So far, 25 students have signed up to attend the party, and more students will probably sign up before the deadline next week.
Find an expression for f(x), the total number of students who will come to the party if x students sign up between now and the deadline.
Next, find an expression for g(x), the total cost of the party if x students sign up between now and the deadline. If the students split the total cost so that each student at the party pays the same amount, which function tells you how much each student will pay?
f(x) = 25 + x
g(x) = 300 + 4(25 + x) = 300 + 100 + 4x = 400 + 4x
The function that tells you how much each student will pay is h(x) = (400 + 4x) / (25 + x)