To determine how many miles John runs per hour, we can use the equation given:
\[ 4y = 26.2x \]
Here, \(y\) represents the speed in miles per hour (mph), and \(x\) represents the time in hours. We know that \(x = 4\) hours for John's marathon run.
Substituting \(x = 4\) into the equation:
\[ 4y = 26.2 \cdot 4 \]
Calculating \(26.2 \cdot 4\):
\[ 26.2 \cdot 4 = 104.8 \]
Now, we have:
\[ 4y = 104.8 \]
To find \(y\), divide both sides by 4:
\[ y = \frac{104.8}{4} = 26.2 \]
To determine miles per hour, we find:
\[ \text{Speed} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph} \]
Therefore, John runs at a speed of 6.55 mph.
The correct answer is: 6.55 mph.