Problem

A town has a population of 19000 and grows at 4.5% every year. To the nearest year, how long will it be until the population will reach 51600 ?

Answer

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Answer

Round the result to the nearest year: 23 years

Steps

Step 1 :Use the exponential growth formula: Years=log(FinalPopulationInitialPopulation)log(1+GrowthRate)

Step 2 :Plug in the given values: Years=log(5160019000)log(1+0.045)

Step 3 :Calculate the result: Years22.6977

Step 4 :Round the result to the nearest year: 23 years

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