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

question 61

Multiple Choice

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

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