The function n(t) gives a population at time t. If n(0)=5 and the population doubles every 25 minutes. Find a formula for n(t). Let one unit of time be 25 minutes.

Question

It's for a math class called math for biological scientists

Answer 1

n(0)=5, n(1)=10, n(2)=20, etc., so n(t)=5×2ᵗ, where n(1) is the population after 25 mins, n(2) the population after 50 mins, etc.

Note: For example, to find the population after an hour, t=60/25=12/5=2.4 so you would use n(2.4)=26 approx.