Write the Word or Phrase That Best Completes Each Statement $\mathrm { P } ( 0 ) = 500$

question 450

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-In year 0, the number of female athletes participating in Summer Olympic-Type Games was 500 . In year 11, about 3550 participated in the Summer Olympics in Atlanta. Assuming that $\mathrm { P } ( 0 ) = 500$ and that the exponential model applies, find the value of $\mathrm { k }$ rounded to the hundredths place, and write the function.

• A) \(\mathrm { k } = 0.16 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.16 \mathrm { t } }\)
• B) \(\mathrm { k } = 0.2 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } 0.2 \mathrm { t }\)
• C) \(\mathrm { k } = 0.18 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.18 \mathrm { t } }\)
• D) \(\mathrm { k } = 0.18 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } 0.28 \mathrm { t }\)

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Definitions:

Predicted Variable

The outcome variable whose values are forecasted or estimated in regression analysis.

Outcome Variable

The variable that is being measured or observed in a study to determine the effects of the independent variable; also known as the dependent variable.

Independent Variable

A variable that is manipulated or categorized to observe its effect on the dependent variable in experimental research.

Slope

The measure of the steepness or incline of a line, representing the rate of change of one variable with respect to another.