In Year 0 , the Number of Female Athletes Participating $\mathrm { k } = 0.17 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.17 \mathrm { t } }$

Multiple Choice

In year 0 , the number of female athletes participating in Summer Olympic-Type Games was 450 . In year 11 , about 3550 participated in the Summer Olympics in Atlanta. Assuming that P(0) =500 and that the exponential model applies, find the value of k rounded to the hundredths place, and write the function.

A) $\mathrm { k } = 0.17 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.17 \mathrm { t } }$
B) $k = 0.19 ; P ( t ) = 500 e ^ { 0.29 t }$
C) $\mathrm { k } = 0.21 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.21 \mathrm { t } }$
D) $\mathrm { k } = 0.19 ; \mathrm { P } ( \mathrm { t } ) = 500 \mathrm { e } ^ { 0.19 \mathrm { t } }$