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? justify your choice.

EQUATION:

METHOD: Factorization.

The sellings prices are:

$4

$12

Step-by-step explanation:

You need to find the selling price or prices that would generate $50 in daily profit, then you need to substityte into the quadratic function:

Make the equation equal to zero:

 Simplify by dividing by -10, then you obtain the equation:

You can solve it with Factorization.

Choose two numbers whose sum is -16 and whose product is 48.

These would by -12 and -4.

Then:

the final function for the graph becomes x-2=-1. before graphing you solve the equation, where x=1. then graph accordingly.   ( on the x-axis, 1 on the line will possess a vertical line.)

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