To find out how many miles John runs per hour, we can solve the equation \(4y = 26.2x\) for \(y\), where \(y\) is the number of miles run per hour and \(x\) is the number of hours.
Given that John runs for \(4\) hours to complete \(26.2\) miles, we can substitute \(x = 4\) into the equation:
\[ 4y = 26.2 \cdot 4 \]
Now, calculating the right side:
\[ 4y = 104.8 \]
Next, divide both sides by \(4\) to solve for \(y\):
\[ y = \frac{104.8}{4} = 26.2 \]
So, \(y\) is actually the total miles run, not the miles per hour. We need to find the miles per hour.
Miles per hour (mpH) can also be calculated directly by doing:
\[ \text{miles per hour} = \frac{\text{total miles}}{\text{total hours}} = \frac{26.2}{4} = 6.55 \text{ mph} \]
Thus, John runs 6.55 mph. The correct answer is:
6.55 mph