To determine if the table shows a proportional relationship, we need to check if the ratio of miles to hours is constant for all pairs of values.
Let's calculate the ratio (miles per hour) for each pair:
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For 2 hours: \[ \text{Ratio} = \frac{300 \text{ miles}}{2 \text{ hours}} = 150 \text{ miles per hour} \]
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For 3 hours: \[ \text{Ratio} = \frac{350 \text{ miles}}{3 \text{ hours}} \approx 116.67 \text{ miles per hour} \]
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For 4 hours: \[ \text{Ratio} = \frac{400 \text{ miles}}{4 \text{ hours}} = 100 \text{ miles per hour} \]
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For 5 hours: \[ \text{Ratio} = \frac{700 \text{ miles}}{5 \text{ hours}} = 140 \text{ miles per hour} \]
Since these ratios (150, approximately 116.67, 100, and 140) are not the same, the table does not show a proportional relationship.
The correct answer is: A. No, the table does not show a proportional relationship.
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