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

269277

Step-by-step 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

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