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

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) $\mathrm { k } = 0.18 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } 0.28 \mathrm { t }$