The population of a city decreases by 3.7% per year. If this year's population is 132,000, what will next year's population be, to the nearest individual?

To calculate the population for next year given a yearly decrease of 3.7%, you can use the formula:

\[
P_{\text{next year}} = P_{\text{this year}} \times (1 - r)
\]

Where:
- \( P_{\text{next year}} \) is the population next year.
- \( P_{\text{this year}} \) is the current population.
- \( r \) is the rate of decrease (expressed as a decimal).

Given:
- \( P_{\text{this year}} = 132,000 \)
- \( r = 3.7\% = 0.037 \)

Plugging in the values:

\[
P_{\text{next year}} = 132,000 \times (1 - 0.037)
\]

\[
P_{\text{next year}} = 132,000 \times 0.963
\]

\[
P_{\text{next year}} = 127,116
\]

So, the population next year will be **127,116** individuals.

Would you like any further details or have any questions about this process? Here are 5 related questions:

1. How would the calculation change if the population increased by 3.7% instead of decreasing?
2. What would the population be in 5 years if this rate of decrease continues?
3. How can you model this situation using an exponential function?
4. What is the percentage decrease needed for the population to halve in 20 years?
5. How would the result change if the rate of decrease were compounded semi-annually?

**Tip:** When dealing with percentage decreases, always convert the percentage to a decimal by dividing by 100 before applying it in calculations.

Learn how to calculate next year's population given a 3.7% decrease per year from a current population of 132,000. This problem involves using the percentage change formula and arithmetic operations with decimals. Suitable for students in Grades 7-9.

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