$\text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. }$

question 17

Multiple Choice

$\text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. }$ Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.

• A)4.317
• B)3.000
• C)0.474
• D)0.677
• E)0.301

---

Definitions:

Demand

The desire of buyers or consumers for a particular good or service, backed by the ability and willingness to pay for it.

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level.

Demand

The level of demand for goods or services that individuals are ready and capable of purchasing at multiple price points during a set period.

Increase

An upward change or growth in value, quantity, or size.