A city's population grew from $120,000$ to $138,000$ people in one year. What is the percent increase in population?

• A. $0.15\%$
• B. $15\%$
• C. $13\%$
• D. $0.13\%$

Answer: (B)

Verified step by step guidance

1. Identify the original population and the new population. Here, the original population is \$120,000\( and the new population is \)138,000$.
2. Calculate the amount of increase in population by subtracting the original population from the new population: \$138,000 - 120,000$.
3. Find the percent increase by dividing the increase by the original population: \(\frac{\text{increase}}{120,000}\).
4. Convert the decimal result from the division into a percentage by multiplying by 100: \(\left(\frac{\text{increase}}{120,000}\right) \times 100\).
5. Express the final answer as a percent increase, which tells you how much the population grew relative to the original population.