Answer:
269277
Explanation:
Suppose a city with population 100,000 has been growing at at rate of 6% per year. If this rate continues, find the pouplation in 17 years
We solve using the formula for exponential growth
Pt = P( 1 + r)^t
When
P = Initial population = 100000
Pt = Population after time t = x
r = Growth rate = 6%
t = Time in years = 17
Hence:
Pt = 100000( 1 + 0.06)¹⁷
Pt = 100000( 1.06)¹⁷
Pt = 269277.27858
Approximately the population in 17 years = 269,277