Question

You are planning the Savannah Half Marathon and want to estimate the number of spectators that can attend. You have determined that 25 people fit in a 9x9 square. If the route is 13.1 miles long and the crowd is 2 feet deep only on ONE SIDE of the street. Estimate the number of spectators at the event. (Remember 1 mile = 5280 ft.) You are planning the Savannah Half Marathon and want to estimate the number of spectators that can attend. You have determined that 25 people fit in a 9x9 square. If the route is 13.1 miles long and the crowd is 2 feet deep only on ONE SIDE of the street. Estimate the number of spectators at the event. (Remember 1 mile = 5280 ft.)

Answer 1

To estimate the number of spectators at the Savannah Half Marathon, we can calculate the area occupied by the spectators along the route. Given that 25 people fit in a 9x9 square, the area occupied by one square is
`\(9 \text{ ft} * 9 \text{ ft} = 81 \text{ ft}^2\).`

Now, let's convert the length of the route to feet:

`\(13.1 \text{ miles} * 5280 \text{ ft/mile} = 69168 \text{ ft}\).`

Since the crowd is 2 feet deep on one side of the street, the effective width is 2 feet. Now, we can calculate the total area occupied by the spectators:

`\[ \text{Total Area} = \text{Length} * \text{Width} = 69168 \text{ ft} * 2 \text{ ft} = 138336 \text{ ft}^2\]`

Now, divide the total area by the area of one square to estimate the number of spectators:

`\[ \text{Number of Spectators} = \frac{\text{Total Area}}{\text{Area of One Square}} = \frac{138336 \text{ ft}^2}{81 \text{ ft}^2} \approx 1704 \]`

Therefore, an estimated 1704 spectators can attend the Savannah Half Marathon.