To find out how many miles John runs per hour, we need to rearrange the given equation \(4y = 26.2x\) to express \(y\) in terms of \(x\):
\[ y = \frac{26.2}{4}x \]
Here, \(y\) represents the miles John runs in a specific time period (in hours), and \(x\) represents the time in hours. Since John runs for 4 hours (which means \(x = 4\)), we can substitute 4 for \(x\):
\[ y = \frac{26.2}{4} \cdot 4 \] \[ y = 26.2 \]
Now to find miles per hour, we see how many miles he runs in 1 hour:
\[ y = \frac{26.2}{4} = 6.55 \text{ mph} \]
Thus, John runs at a speed of 6.55 miles per hour.
The correct response is 6.55 mph.
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