A Population Is 30,000 in Year $t=0$ And Declines at a Continuous Rate Of

Multiple Choice

A population is 30,000 in year $t=0$ and declines at a continuous rate of $5 \%$ per year. What is the formula for $P(t)$ , the population in year $t$ ?

A) $P(t) =30,000(5) ^{t}$
B) $P(t) =30,000(0.95) ^{t}$
C) $P(t) =30,000 e^{0.95 t}$
D) $P(t) =30,000 e^{-0.05 t}$