Let n be the number of minimum chimes needed.
$3500=$12n-$125x5
$4125=$12n
(10(1-(1/2)^5)/1-(1/2) =
20(1-1/32)
=155/8
The population starts at 2000, so a=2000.
We also know that the population in 3 hours is 1000, so we can setup the equation:
2000 b^3 = 1000
This gets us:
b^3 = 1/2
And taking the cube root of both sides gives us:
b ≈ 0.7937005259841
Rounding that to 4 places, we have:
f(t) = 2000 (0.7937)^t
