The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation?

Answer:x = 4 or x = 12Step-by-step explanation:Given:y = -10x² + 160x - 430When y = $5050 = -10x² + 160x - 430 50 + 430 = -10x² + 160x 480 = -10x² + 160x -10x² + 160x - 480 = 0Divide through by -10x² - 16x + 48 = 0Solve the quadratic equation using factorization method+48 = -12 × -4-16 = -12 -4Therefore,-12 and -4 are both factorsx² - 16x + 48 = 0 (x - 4 )(x - 12 ) = 0x - 4 = 0 x = 4ORx - 12 = 0x = 12