The population in a city is 650,000 and grows at a rate of 5 percent per year. in approximately years, the population of the city will reach 1 million. (model the situation as p = p0ert.)

The initial population is P₀ = 650,000.
Growth rate, r = 5% per year, or r = 0.05.

Let t = years.
The proposed model is

or


Therefore

ln(P/650000) = 0.05t

When P = 1,000,000
0.05t = ln(1000000/650000) = 0.4308
t = 8.6157 years = 2 years (approx)

2 years (approx)

Where’s the problems ? ?