Question

interpreting the zeroes of a quadratic function

$y=-6x^{2}+100x - 180$
$x =$ selling price of each soccer balls
$y =$ daily profit from soccer balls

what do the zeroes mean in context?

if soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61

if soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.

if soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

if soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05

Explanation:

The zero - es of a profit function represent the break - even points. At these points, the profit ($y$) is zero, meaning the revenue from selling the soccer balls (based on the selling price $x$) equals the cost, and there is no profit or loss.

Answer:

If soccer balls are sold for $2.05$ or $14.61$ each, the store will break even but will not make a profit.