Question

Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 42,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had all fallen off, and they wound up tagging a total of 54,600 frogs.
(a) Find an exponential model for the frog population.

Answer 1

ask your teacher for the death rate and sterility rate of the population.. :)

Answer 2

so, what he is really asking is the Ae^rt

Answer 3

a(2) = 42000e^2x

Answer 4

54600 = 42000e^2x

Answer 5

so ln (1.3) = 2x

Answer 6

.13

Answer 7

a(t)=42000c^.13t

Answer 8

\[F_2 = F_0 e^{rt}\]
\[\frac{F_2}{F_0} = e^{rt}\]
\[ln\frac{F_2}{F_0} = rt\]