To determine if the quantities in the data table are in a proportional relationship, we need to check if the ratio of miles to hours is constant for all entries.
Let's calculate the ratios for each entry:
- For 1 hour, the ratio is \( \frac{12 \text{ miles}}{1 \text{ hour}} = 12 \).
- For 2 hours, the ratio is \( \frac{26 \text{ miles}}{2 \text{ hours}} = 13 \).
- For 3 hours, the ratio is \( \frac{30 \text{ miles}}{3 \text{ hours}} = 10 \).
- For 4 hours, the ratio is \( \frac{48 \text{ miles}}{4 \text{ hours}} = 12 \).
Now let's summarize the ratios:
- 1 hour: 12
- 2 hours: 13
- 3 hours: 10
- 4 hours: 12
Since not all of the ratios are the same, the quantities do not have a proportional relationship.
Therefore, the correct response is: No, not all of the ratios are proportional or have equivalence.
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