The growth of population is proportional to the number present. If the population of a colony doubles is 50 years, then the population will become triple in _____ years

Step-by-step solution

Let P ₀= Initial population Given dP dt P dP dt = P dP P = dt | P |= t + C (1) At t=0, P=P₀ we get P₀=0+C C= P₀ P= t+ P₀ ( P P₀ )= t When P=2 P₀, t=50 ( 2 P₀ P₀ )=50 2=50 = 1 50 2 ( P P ₀ )= t 50 ( 2) When P =3 P ₀ we get 3= t 50 ( 2) t=50 ( 3 2 ) yrs.