Question

Suppose a population of 400 crickets doubles in size every 4 months. How many crickets will there be after 2 years?

1,600 crickets
4,800 crickets
6,400 crickets
25,600 crickets

Answer 1

so the growth equation is

\[A = 4000 \times 2^n\]

A = new population.... n = number of 4 month periods...

so how many 4 month period are in 24 months (2 years)?

Answer 2

or you can use

Period 0 1 2 3 4 5 6
pop 4000 8000 16000 32000

just keep the pattern going

Answer 3

I used scratched paper and did 800 x3 and gave me 2400 and times that times 2 and came up with 4800

Answer 4

oops I had an extra zero at the start

so use 400 x 2^6

Answer 5

coming up with 25,600