General form though we could have a number where we have ‘e’. Here the growth or decay is not linear ie it does not increase or decrease by the same amount each time. The growth or decay increases or decreases by multiples of an amount ie if it doubles each second and you start with 3 units then after 4 seconds, it would be 48 units The equation for this situation would be

N(t) = 3 (2)^{t }

These questions are not too difficult to solve we just need to be careful. There are several possible questions that can be asked.

If a colony of ants starts with a population of 25 000 then after 10 hours there are 40 000 ants. If the population follows an exponential growth of Q(t) = Q_{o} e ^{kt} Find the value of k and when the population exceeds 60 000 ants