To determine if the quantities in the data table are in a proportional relationship, we need to look at the ratios of water used (in gallons) to time (in minutes) for each given data point.
Let's calculate the ratios:
- For 1 min: \( \frac{5 \text{ gal}}{1 \text{ min}} = 5 \)
- For 2 min: \( \frac{10 \text{ gal}}{2 \text{ min}} = 5 \)
- For 3 min: \( \frac{15 \text{ gal}}{3 \text{ min}} = 5 \)
- For 7 min: \( \frac{35 \text{ gal}}{7 \text{ min}} = 5 \)
- For 10 min: \( \frac{50 \text{ gal}}{10 \text{ min}} = 5 \)
All these ratios are equal to 5. Therefore, the relationship between the time and water used is proportional.
So the correct response is:
Yes, the data table has a proportional relationship.