Suppose N(t) denotes a population size at time t where the dN/dt=0.03 N(t).

If the population size at time t=4 is equal to 100, use a linear approximation to estimate the size of the population at time t=4.1.

1 answer

dN = .03N dt
you have N=100 and dt=0.1
plug and chug

N(4.1) ≈ 100 + dN