Question

it takes 5 weeks for mice to go from a population of 100 to a population of 1000. What is the doubling time of this population?

Answer 1

this is what I did, but I don't think I'm right...
1000=100e^(k5), where k is the rate of growth
10=e^(k5)
ln(10)=ln(e^k5)
ln(10)=k5
k=ln(10)/5
which equals 0.46 which doesn't make sense?

Answer 2

you did it correctly, but "k" is not the doubling time, its just a constant
you need to solve
2 = e^(kt)
2 = e^.46t
t = ln(2)/.46

Answer 3

why did you put 2=e^kt? where did the 2 come from

Answer 4

"double" means 2 times as much
start with 100 , you want 200
200 = 100e^kt
2 = e^kt

Answer 5

ohhh! ok thanks!