Express profit per seat as a function of x. Then express profit as a function of x.

Question

profit of $8 per seat if the number of seats is no more than 50. Profit of seat will decrease by $.10 for each seat above 50. Let x denote # of seats above 50.

Answer 1

This is a step-wise function:

P(x) = 8x for x ≤ 50

P(x) = 8x - 0.10(x-50) for x > 50

Answer 2

P(x) = (8 - 0.10x)(50 + x)