To set up a double number line to find the percent of the park that is the playground, we'll use the concept of area. Here's how to do it step-by-step:
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Identify the total area of the park: According to the information you provided, the total area of the park is 400 square inches.
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Set up your double number line: You will need to represent both the area (in square inches) and the percent of the total area.
Number Line for Area:
- Start with 0 square inches and extend to 400 square inches. You might choose increments based on your needs; for instance: 0, 100, 200, 300, 400.
Number Line for Percent:
- Similarly, start with 0% and go up to 100%. Increment by 20% (0, 20, 40, 60, 80, 100).
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Label the lines:
- Let the left side represent the area in square inches and the right side represent the percentage.
- The line should look like this:
Area (square inches): 0 100 200 300 400
Percent: 0% 25% 50% 75% 100%
This indicates that:
- 0 square inches corresponds to 0% of the park.
- 100 square inches is 25% of the park.
- 200 square inches is 50% of the park.
- 300 square inches is 75% of the park.
- And 400 square inches is 100% of the park.
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Determine the area of the playground: If you know the area that the playground occupies (for example, let's assume it's 100 square inches), you can find its percentage of the total park area.
To find the percent of the park that is the playground, use the formula: \[ \text{Percent of Playground} = \left( \frac{\text{Area of Playground}}{\text{Total Area of Park}} \right) \times 100 \] Here, suppose the area of the playground is 100 square inches: \[ \text{Percent of Playground} = \left( \frac{100}{400} \right) \times 100 = 25% \]
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Complete the number line: You can now mark the area of the playground (100 sq in) on the double number line, identifying that it corresponds to 25%.
Following these steps gives you a clear visual representation of the area of the playground relative to the entire park, enabling you to easily understand the proportions involved.
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