Question

A local gym sells monthly memberships. The function f(x) = −x2 + 18x − 72 models the daily profit in dollars, where x is the number of memberships sold.

Determine the zeros, and explain what these values mean in the context of the problem.

x = 9, x = 18; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 9, x = 18; The zeros represent the number of monthly memberships when no profit is made.
x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 12; The zeros represent the number of monthly memberships when no profit is made.

Answer 1

no profit was made the correct answer is D

Answer 2

Answer: the zeros are at (6,0) and (12,0) where no profit is made.

option D

Step-by-step explanation: you can find the zeros ( the x-intercepts), by either graphing out the function or factoring it.

in this scenario, there is no y increase, which means 0 profit.