To determine if the quantities in the table (Hours Biked and Miles Traveled) have a proportional relationship, we need to check if the ratios of miles traveled to hours biked are constant.
Let's calculate the ratio for each entry in the table:
- 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 let's look at the ratios:
- 1 hour: 12
- 2 hours: 13
- 3 hours: 10
- 4 hours: 12
Since the ratios are not all the same, the data table does not represent a proportional relationship.
The correct response is: No, not all of the ratios are proportional or have equivalence.