Solve the problem.
-The polynomial function $L ( p ) = p ^ { 3 } - 5 p ^ { 2 } + 20$ gives the rate of gas leakage from a tank as pressure increases in $p$ units from its initial setting. Will an increase of 4 units result in a lower rate of leakage compared to the initial setting?
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if the rate of leakage decreases, compare $L(0)$ and $L(4)$. $L(0) = 20$ and $L(4) = 4^3 - 5(4)^2 + 20 = 64 - 80 + 20 = 4$. Since $L(4) = 4$ is less than $L(0) = 20$, the rate of leakage decreases.

Solve the Problem L(p)=p3−5p2+20L ( p ) = p ^ { 3 } - 5 p ^ { 2 } + 20L(p)=p3−5p2+20

Solve the Problem $L ( p ) = p ^ { 3 } - 5 p ^ { 2 } + 20$