Question

A local shop prints photos. The function f(x) = −x2 + 20x − 75 models the profit from one customer, where x is the number of photos printed. Determine the zeros, and explain what these values mean in the context of the problem. x = 5, x = 15; The zeros represent the number of photos printed where no profit is made. x = 5, x = 15; The zeros represent the number of photos printed to produce a maximum profit. x = 10, x = 25; The zeros represent the number of photos printed where no profit is made. x = 10, x = 25; The zeros represent the number of photos printed to produce a maximum profit.

Answer 1

Answer:

x = 5, x = 15; The zeros represent the number of photos printed to produce a maximum profit.

Step-by-step explanation:

F(x) = −x²+ 20x − 75

Let's f(x)= 0

0= -x²+20x-75

0= x²-20x+75

0=x²-5x-15x+75

0= x(x-5)-15(x-5)

0= (x-5)(x-15)

The zeros are

X= 5 or x = 15

And the xeros represent a number of photos printed to produce maximum profit