Write the Word or Phrase That Best Completes Each Statement $\mathrm { y } = 3 \mathrm { e } \cdot 04 \mathrm { x }$

question 357

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-A population is increasing according to the exponential function defined by $\mathrm { y } = 3 \mathrm { e } \cdot 04 \mathrm { x }$ , where $\mathrm { y }$ is in millions and $\mathrm { x }$ is the number of years. Which of the following should be done in order to answer the question "How long will it take for the population to quadruple?"

• A) Solve \(3 \mathrm { e } \cdot 04 \mathrm { x } = 4\).
• B) Evaluate \(y = 3 \mathrm { e } \cdot 04 ( 4 )\).
• C) Evaluate \(y = 3 e ^ { - 04 ( 1 / 4 ) }\).
• D) Solve \(3 \mathrm { e } \cdot 04 \mathrm { x } = 12\).

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Definitions:

Parasympathetic Action

Activities associated with the branch of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles.

Increased Metabolism

An elevation in the rate at which the body converts food and drink into energy, involving biochemical processes that maintain life within the cells.

ANS

The autonomic nervous system, a component of the peripheral nervous system that controls involuntary bodily functions such as heartbeat and digestion.

Hypothalamus

A region of the brain responsible for hormone production and regulation of essential body functions, including temperature, hunger, and thirst.