Question

A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the 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 = 6, x = 44; The zeros represent the number of monthly memberships that produces a maximum profit.
x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships where no profit is made.
x = 25, x = 361; The zeros represent the number of monthly memberships that produces a maximum profit.

ALGEBRA 1 ANSWERS ONLY PLS

Answer 1

x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.

Explanation:

f(x) = −x² + 50x − 264

−x² + 50x − 264 = 0

-x² + 44x + 6x - 264 = 0

-x(x - 44) + 6(x - 44) = 0

(x - 44)(-x + 6) = 0

x = 6, 44