To find the constant of proportionality in the context of the given data, you need to look for a ratio that represents the relationship between hours walked and miles walked.
From the data in the table, we can extract the quantities:
- (14 hours, 1 mile)
- (12 hours, 2 miles)
- (34 hours, 3 miles)
- (1 hour, 4 miles)
To calculate the constant of proportionality, we can find the ratio of miles walked to hours spent walking. This can be computed as follows:
- For 14 hours and 1 mile: \( \frac{1}{14} \) miles per hour.
- For 12 hours and 2 miles: \( \frac{2}{12} = \frac{1}{6} \) miles per hour.
- For 34 hours and 3 miles: \( \frac{3}{34} \) miles per hour.
- For 1 hour and 4 miles: \( \frac{4}{1} = 4 \) miles per hour.
From this analysis, the constant of proportionality appears to be indicated by the last ratio calculation involving (1 hour, 4 miles), where the result is 4 miles per hour.
Therefore, the answer to your question regarding the ratio that represents the constant of proportionality is:
(1, 4)