$\text { The logistic function } P ( t ) = \frac { 10 } { 1 + 3 e ^ { - 2 t } } \text { models the growth of a population. }$

question 52

Multiple Choice

$\text { The logistic function } P ( t ) = \frac { 10 } { 1 + 3 e ^ { - 2 t } } \text { models the growth of a population. }$ Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.

• A)0.549
• B)3.333
• C)1.151
• D)5.000
• E)1.000

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