the function p(x)=-2(x - 9)^2+100 is used to determine the profit on t - shirts sold for x dollars. what…

the function p(x)=-2(x - 9)^2+100 is used to determine the profit on t - shirts sold for x dollars. what would the profit from sales be if the price of the t - shirts were $15 apiece?\n$15\n$28\n$172\n$244

the function p(x)=-2(x - 9)^2+100 is used to determine the profit on t - shirts sold for x dollars. what would the profit from sales be if the price of the t - shirts were $15 apiece?\n$15\n$28\n$172\n$244

Answer

Explanation:

Step1: Substitute x value

Substitute $x = 15$ into $p(x)=-2(x - 9)^2+100$. So we get $p(15)=-2(15 - 9)^2+100$.

Step2: Calculate value in parentheses

First, calculate $15 - 9=6$. Then the expression becomes $p(15)=-2\times6^2+100$.

Step3: Calculate the square

Calculate $6^2 = 36$. So $p(15)=-2\times36+100$.

Step4: Calculate multiplication

Calculate $-2\times36=-72$. Then $p(15)=-72 + 100$.

Step5: Calculate addition

$-72+100 = 28$.

Answer:

$28$ (corresponding to the option with value $28$)