To determine how many miles John runs per hour, we need to analyze the equation given, which is \(4y = 26.2x\).
In this equation:
- \(y\) represents the miles per hour (mph).
- \(x\) represents the number of hours.
Since John runs for \(4\) hours, we can set \(x = 4\) and 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, substitute this into the equation: \[ 4y = 104.8 \]
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To find \(y\), divide both sides by \(4\): \[ y = \frac{104.8}{4} \] \[ y = 26.2 \]
Since \(y\) represents the total distance in miles, we need to find the speed in miles per hour: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph} \]
Thus, John runs at a speed of 6.55 mph.
The correct response is: 6.55 mph.