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To determine if the table represents a proportional relationship, we need to calculate the ratio of the height of the lighthouse (in feet) to the distance it can be seen (in miles) for each pair of values in the table.

The table shows the following dataTo determine if the table represents a proportional relationship, we need to calculate the ratio of the height of the lighthouse (in feet) to the distance it can be seen (in miles) for each pair of values in the table.

The table shows the following 

- For 20 feet, the distance is 6 miles.
- For 45 feet, the distance is 9 miles.
- For 70 feet, the distance is 11 miles.
- For 95 feet, the distance is 13 miles.

Now, let's calculate the ratio (constant of proportionality) for each pair:

1. \( \frac{20 \text{ feet}}{6 \text{ miles}} = \frac{10}{3} \approx 3.33 \)
2. \( \frac{45 \text{ feet}}{9 \text{ miles}} = 5 \)
3. \( \frac{70 \text{ feet}}{11 \text{ miles}} \approx 6.36 \)
4. \( \frac{95 \text{ feet}}{13 \text{ miles}} \approx 7.31 \)

Since the ratios are not constant, the relationship is not proportional.

Thus, the correct answer is:

- **It is not proportional.**

Would you like further details, or do you have any questions? 

Here are some related questions to consider:
1. How can we identify proportional relationships in data tables?
2. How would the relationship change if the ratios were constant?
3. What real-world factors might affect the visibility of a lighthouse besides height?
4. How is the constant of proportionality used in practical applications?
5. Can this method apply to non-linear relationships?

**Tip**: When checking for proportionality, always ensure that the ratio between corresponding values remains consistent throughout the dataset.

Decide whether the table represents a proportional relationship. Select the constant of proportionality.

The distance from which a lighthouse is visible:

Height of Lighthouse (feet) / Distance It Can Be Seen (miles):
- 20 / 6
- 45 / 9
- 70 / 11
- 95 / 13

Learn how to determine if a table represents a proportional relationship by calculating the constant of proportionality. The table in this problem shows the height of a lighthouse and the distance it can be seen. Suitable for students in Grades 6-8.

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