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 $p(x)=-2(x - 9)^2+100$. $p(15)=-2(15 - 9)^2+100$

Step2: Calculate the value inside parentheses

$15-9 = 6$, so $p(15)=-2\times6^2+100$.

Step3: Calculate the square

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

Step4: Calculate the multiplication

$-2\times36=-72$, so $p(15)=-72 + 100$.

Step5: Calculate the sum

$-72+100 = 28$.

Answer:

B. $28