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

Answer:

B. $28

Explanation:

Step1: Substitute $x = 15$ into the function

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

Step2: Calculate the value inside the parentheses

$15 - 9=6$ So $p(15)=-2\times6^2 + 100$

Step3: Calculate the square value

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

Step4: Calculate the multiplication

$-2\times36=-72$ So $p(15)=-72 + 100$

Step5: Calculate the final result

$-72+100 = 28$