Use the ratio of 1 person per 2.5 square feet to estimate the size of a crowd that is 9 feet deep on both sides of a street for a distance of 2 miles and is filled with people. (remember 1 mile = 5280 feet).

To estimate the size of the crowd using the given ratio, let's break down the problem step-by-step:

### Problem Data:
1. **Ratio**: 1 person per 2.5 square feet.
2. **Depth of the crowd**: 9 feet (on both sides of the street).
3. **Street length**: 2 miles.
4. **1 mile = 5280 feet**.

### Step 1: Calculate the total length of the crowd.
Since the crowd is 2 miles long:
\[
\text{Total Length} = 2 \times 5280 \text{ feet} = 10,560 \text{ feet}.
\]

### Step 2: Calculate the total area occupied by the crowd.
The crowd is 9 feet deep on both sides of the street. So, the area covered by the crowd:
\[
\text{Area} = \text{Length} \times \text{Depth} = 10,560 \text{ feet} \times 9 \text{ feet} = 95,040 \text{ square feet}.
\]

### Step 3: Use the ratio to estimate the number of people.
The ratio is 1 person per 2.5 square feet, so:
\[
\text{Number of People} = \frac{95,040 \text{ square feet}}{2.5 \text{ square feet per person}} = 38,016 \text{ people}.
\]

### Conclusion:
The estimated size of the crowd is **38,016 people**.

Would you like more details or have any questions?

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Here are some related questions to deepen your understanding:

1. How would the estimate change if the depth of the crowd was 12 feet instead of 9 feet?
2. What if the street was only 1 mile long? How many people would be in the crowd then?
3. How does changing the ratio to 1 person per 3 square feet affect the estimate?
4. If the crowd density was higher, say 1 person per 2 square feet, what would the new crowd size be?
5. How would the crowd size change if the street was filled on only one side instead of both?

**Tip**: Always double-check unit conversions (e.g., miles to feet) to avoid calculation errors in multi-step problems!

Learn how to estimate the size of a crowd using area and population density calculations. This problem involves geometry and unit conversion, estimating the number of people based on a given area and population density ratio. Suitable for students in Grades 9-12.

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