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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.

Respuesta :

Answer:  C.) x = 6, x = 12; The zeros represent the number of monthly memberships that produces a maximum profit. Is not the answer

Step-by-step explanation: I took the test and got it wrong. I don't know what the answer is.

shubhamchouhanvrVT

x = 6, x = 12; The zeros represent the number of monthly memberships that produce a maximum profit. The correct option is C.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that a local gym sells monthly memberships. The function f(x) = −x² + 18x − 72 models the daily profit in dollars.

The given quadratic equation is solved by equating the function to zero:-

−x² + 18x − 72 = 0

x² - 18x + 72 = 0

x² - 12x -6x + 72 = 0

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

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

x = 12, 6

Therefore, x = 6, x = 12; The zeros represent the number of monthly memberships that produce a maximum profit. The correct option is C.

To know more about quadratic equations follow

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