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 constant.
Let's calculate the ratios 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, we can see the ratios:
- First hour: 12
- Second hour: 13
- Third hour: 10
- Fourth hour: 12
Since the ratios are not constant (12, 13, 10, 12), the data does not indicate a proportional relationship.
Therefore, the correct response is: No, not all of the ratios are proportional or have equivalence.
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