Your class is selling boxes of flowers as a fundraiser. The profit p depends on the amount x that your class charges for each box of seeds. The equation p=-0.5^2+36x-169 models the profit of the fundraiser. What is the smallest amount in dollars that you can charge and make a profit of $389?

Answer:$ 22.6Step-by-step explanation:Given thatPrice charged for each box of seeds = xProfit gained from from selling boxes of seeds = pThe equation of profit is modeled asP(x) = 0.5x² + 36x - 179As per given information if the fundraisers make a profit of  $379 then find the minimum price charged for each box of seed.Now our above equation becomes379 = -0.5x² + 36x - 179Simplifying379+179 = -0.5x² + 36x558 = -0.5x² + 36x0.5x² - 36x + 558 =0multipying both sides of equation by 22(0.5x² - 36x + 558) = 2x0x² - 72x +1116 = 0Using quadratic formula we get the following factorsx= 49.4 or x= 22.60As we can the smalles value is 22.6So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.NOTE.- just substitute values and resolve