the town of aldrige has a population of 300,000. each year the polulation will decrease by 7%how many fewer people will live there after 5 years give your answer to 3 sf

To find out how many fewer people will live in Aldridge after 5 years, we can use the formula for exponential decay:

\[
P = P_0 \times (1 - r)^t
\]

Where:
- \( P_0 = 300,000 \) is the initial population,
- \( r = 0.07 \) is the annual decrease rate (7%),
- \( t = 5 \) is the number of years,
- \( P \) is the population after 5 years.

### Step 1: Calculate the population after 5 years

\[
P = 300,000 \times (1 - 0.07)^5
\]

\[
P = 300,000 \times (0.93)^5
\]

\[
P = 300,000 \times 0.6983
\]

\[
P \approx 209,490
\]

### Step 2: Find the decrease in population

The decrease in population is:

\[
300,000 - 209,490 = 90,510
\]

So, **90,510 fewer people** will live in Aldridge after 5 years.

### Final Answer (to 3 significant figures): 
\[
90,510 \text{ people}
\]

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Would you like a more detailed breakdown or have any other questions about this problem? Here are some related questions for further practice:

1. How would the population change if the decrease rate were 5% instead of 7%?
2. What will the population be after 10 years at the same 7% decrease rate?
3. How do you calculate exponential growth compared to exponential decay?
4. How would the population decrease change if the rate increased to 10%?
5. How could you adjust the formula if the population decreased every 6 months instead of annually?

**Tip**: Always round the final population to the correct number of significant figures, especially when interpreting results in real-world contexts.

The town of Aldrige has a population of 300,000. Each year the population will decrease by 7%. How many fewer people will live there after 5 years? Give your answer to 3 significant figures.

Learn how to calculate the population decrease of a town with a 7% annual decline. This problem involves exponential decay and provides a detailed solution to determine how many fewer people will live in Aldrige after 5 years, with the answer rounded to 3 significant figures.

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