Ariel, a Marine Biologist, Models a Population P of Crabs $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$

question 68

Multiple Choice

Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function $\mathrm { P } ( \mathrm { t } ) = - 0.00003 \mathrm { t } ^ { 3 } + 0.008 \mathrm { t } ^ { 2 } + 3.5 \mathrm { t } + 600$ . Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)

• A) 707 days
• B) 911 days
• C) 1512 days
• D) 547 days

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