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

question 424

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 $\mathrm { y } = 3 \mathrm { e } ^{.04 x }$ , where $\mathrm { y }$ is in millions and $x$ is the number of years. Which of the following should be done in order to answer the question "How large will the population be in 4 years?"

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

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Definitions:

Supply Curve

A graphical representation showing the relationship between the price of a good or service and the quantity supplied for a given period.

Variable Costs

Costs that vary directly with the level of production or service provision, such as materials and labor.

Output

The quantity of goods or services produced by a firm or industry.

Total Variable Costs

The sum of expenses that change in proportion to the activity of a business, such as costs for raw materials and labor, which vary with production volume.