Question

Can someone please help me I have done everything to try and solve this question and I still get it wrong
*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 67,200 frogs. *
(a) Find an exponential model for the frog population.

Answer 1

are you sure you have done everything to solve this question?

Answer 2

My thing is, I only see two points instead of three. I'm pretty sure we need at least three points to be able to calculate the ratio

Answer 3

An exponential model would be
\[P= c e ^{at}\]
where P is population, e is 2.7... , t is time in years, c and a are unknown parameters to be found

Answer 4

you find the unknown parameters like this:
42000= c e^(at) at t= 0
because e^0 = 1, this gives you c= 42000
now solve for a:
67200= 42000 e^(2a), where we replace c with its value.
Can you finish?