Problem

A city has a population of 220,000 people. Suppose that each year the population grows by $3 \%$. What will the population be after 11 years? Use the calculator provided and round your answer to the nearest whole number. people Explanation Check

Solution

Step 1 :Calculate the final population using the formula: \(Final Population = Initial Population * (1 + Growth Rate)^{Number of Years}\)

Step 2 :Plug in the values: \(Final Population = 220,000 * (1 + 0.03)^{11}\)

Step 3 :Calculate the result: \(Final Population = 304531.4515593781\)

Step 4 :Round the final population to the nearest whole number: \(Final Population = 304,531\)

Step 5 :\(\boxed{Final Answer: 304,531}\) people

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Source: https://solvelyapp.com/problems/22376/

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