Answered

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 where 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 where no profit is made.

Answer :

isaiahw0414

Answer:

D.  x = 6, x = 12; The zeros represent the number of monthly memberships where no profit is made.

Step-by-step explanation:

The zeroes of the given function are x = 6, x = 12 and the zeroes represent number of monthly memberships where no profit is made.

What is a function?

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable).

Given f(x) =  −x^2 + 18x − 72

Putting f(x) = 0 to calculate the zeroes of the function

x^2 - 18x + 72 = 0

x^2 - 12x - 6x + 72 = 0

x(x - 12) - 6(x - 12) = 0

(x - 6)(x - 12) = 0

x = 6, x = 12

Hence the zeroes of the function are x = 6, x = 12, and they represent the number of monthly memberships where no profit is made because we put f(x) = 0 in the start and f(x) represented profit.

Learn more about quadratic equations on:

https://brainly.com/question/1214333

#SPJ2

Other Questions