To determine if the quantities in the data table (Hours Biked and Miles Traveled) are in a proportional relationship, we need to check if the ratios of miles traveled to hours biked are consistent for each pair of values.
- For 1 hour: \( \frac{12 \text{ miles}}{1 \text{ hour}} = 12 \)
- For 2 hours: \( \frac{26 \text{ miles}}{2 \text{ hours}} = 13 \)
- For 3 hours: \( \frac{30 \text{ miles}}{3 \text{ hours}} = 10 \)
- For 4 hours: \( \frac{48 \text{ miles}}{4 \text{ hours}} = 12 \)
Now, comparing these values:
- The ratio for 1 hour is 12.
- The ratio for 2 hours is 13.
- The ratio for 3 hours is 10.
- The ratio for 4 hours is 12.
Since the ratios are not consistent (12, 13, 10, 12), the data does not represent a proportional relationship.
The correct response is:
No, not all of the ratios are proportional or have equivalence.