Answer:
276,806
Step-by-step explanation:
In this context "rate of change of the population ... is proportional to the population" means it can be modeled by ...
P(t) = P0·e^(kt)
where "k" is the "constant of proportionality, and P0 is the population corresponding to t=0.
Filling in the given numbers, we have ...
P(25) = 200,000·e^(0.013·25) ≈ 276,806
The population is estimated to be 276,806 in the year 2025.
