To find out how many miles John runs per hour, we can start with the proportional relationship given by the equation \(4y = 26.2x\).
Here:
- \(y\) represents the speed in miles per hour,
- \(x\) represents the time in hours.
Since we know John runs the marathon in 4 hours, we can set \(x = 4\). We can then solve for \(y\):
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Substitute \(x = 4\) into the equation: \[ 4y = 26.2 \times 4 \]
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Calculate \(26.2 \times 4\): \[ 26.2 \times 4 = 104.8 \]
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Now, we have: \[ 4y = 104.8 \]
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To find \(y\), divide both sides by 4: \[ y = \frac{104.8}{4} = 26.2 \]
Since this is not the correct calculation for miles per hour, we should calculate \(y\) as miles per hour directly related to the total distance:
- Calculate the miles per hour directly: \[ \text{miles per hour} = \frac{\text{distance}}{\text{time}} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph} \]
Thus, the correct response is: 6.55 mph.