To determine if the quantities in the data table represent a proportional relationship, we can look at the ratios of water used to time.
First, let's find the ratios for each data point:
- For 1 minute: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
- For 2 minutes: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
- For 3 minutes: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
- For 7 minutes: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
- For 10 minutes: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
Since all the ratios are equal to 5, it can be concluded that the quantities in the data table are in a proportional relationship.
Thus, the correct response would be:
Yes, the data table has a proportional relationship.