To determine how many miles John runs per hour, we need to analyze the equation given: \(4y = 26.2x\).
Here, we can understand \(y\) as the speed in miles per hour (mph) and \(x\) as the time in hours.
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First, substitute \(x = 4\) (the time in hours) into the equation: \[ 4y = 26.2 \cdot 4 \]
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Calculate \(26.2 \cdot 4\): \[ 26.2 \cdot 4 = 104.8 \]
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Now you have: \[ 4y = 104.8 \]
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To find \(y\), divide both sides by 4: \[ y = \frac{104.8}{4} \] \[ y = 26.2 \]
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Therefore, John runs at a speed of: \[ y = 6.55 \text{ mph} \]
The correct response is: 6.55 mph.