Solve the problem.
-Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function $\mathrm { P } ( \mathrm { t } ) = - 0.00009 \mathrm { t } ^ { 3 } + 0.024 \mathrm { t } ^ { 2 } + 10.5 \mathrm { t } + 1800$
Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nes day.)
A) 547 days
B) 707 days
C) 1512 days
D) 911 days

Question

Quizplus · Accepted Answer

The population becomes extinct when P(t) = 0. Solving for t gives t ≈ 547.

Solve the Problem P(t)=−0.00009t3+0.024t2+10.5t+1800\mathrm { P } ( \mathrm { t } ) = - 0.00009 \mathrm { t } ^ { 3 } + 0.024 \mathrm { t } ^ { 2 } + 10.5 \mathrm { t } + 1800P(t)=−0.00009t3+0.024t2+10.5t+1800

Solve the Problem $\mathrm { P } ( \mathrm { t } ) = - 0.00009 \mathrm { t } ^ { 3 } + 0.024 \mathrm { t } ^ { 2 } + 10.5 \mathrm { t } + 1800$