Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.5x² + 36x-107 models the profit of the fundraiser. What's the smallest amount, in dollars, that you can charge and make a profit of at least $415?
To make the desired profit, the smallest amount you can charge for each box is $
(Round to the nearest cent as needed.)