Question

Y=-6x^2+100x-180

Answer 1

Sample Response: The vertex is the maximum of the graph. The y-coordinate of the maximum is 236.67, which means the greatest possible daily profit from the sale of soccer balls is $236.67. This maximum profit occurs when x = 8.33, or when the store charges $8.33 per soccer ball.

Answer 2

In the figure we have the graphic of this equation. So, the vertex is the maximum of this function. This point means that the maximum daily profit from soccer balls is:

$y = 236.67$

And this happens when the selling price of each soccer ball is:

$x = 8.33$

So if you want to get the best daily profit, this is the price you must sell each soccer ball.