A company used the function shown to predict the monthly profit, p(x), in dollars for selling a new bike for x dollars.
P(x)= -1/6(x-240)² +2,400
What is the monthly profit if the company sells the new bike for $216?
Option A.
$2,416
Option B.
$2,304
Option C.
$2,496
Option D.
$2,408
To find the monthly profit when the new bike is sold for $216, we substitute x = 216 into the function P(x).
P(216) = -1/6(216-240)² + 2,400
= -1/6(-24)² + 2,400
= -1/6(576) + 2,400
= -96 + 2,400
= 2,304
Therefore, the monthly profit when the new bike is sold for $216 is $2,304.
Option B is the correct answer.