Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 16,000 } { 1 + 399.0 \mathrm { e } ^ { - 1.2 t } }$

question 215

Multiple Choice

Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 16,000 } { 1 + 399.0 \mathrm { e } ^ { - 1.2 t } }$ models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people became ill with this infection when the epidemic began?

• A) 40 people
• B) 16,000 people
• C) 399 people
• D) 400 people

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Definitions:

Exports

Goods or services produced in one country and sold to customers in other countries, contributing to a nation's economy.

Imports

Goods or services brought into one country from another for the purpose of trade or sale.

Business Cycle

The cyclical fluctuations in economic activity and growth that an economy experiences over time, typically consisting of expansion, peak, contraction, and trough phases.

Pharmaceuticals

Substances or products used in the diagnosis, treatment, or prevention of diseases and medical conditions.