Mathematics: 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.

idk STOOPIDStep-by-step explanation:...

The quadratic function y = –10x2 + 160x – 430 models

alissa3329

17.01.2022

EQUATION: x^2-16x+48=0

METHOD: Factorization.

The sellings prices are:

$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 y=50 into the quadratic function:

50=-10x^2+160x-430

Make the equation equal to zero:

$-10x^2+160x-430-50=0\\-10x^2+160x-480=0$

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

x^2-16x+48=0

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:

$(x-12)(x-4)=0\\x_1=12\\x_2=4$

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