To determine how many miles John runs per hour, we need to solve the equation given by the proportional relationship \(4y = 26.2x\).
Here,
- \(y\) is the number of miles John runs,
- \(x\) is the number of hours he runs.
In this case, we know:
- John runs 26.2 miles in 4 hours, so we can substitute \(y = 26.2\) and \(x = 4\) into the equation.
However, we are looking for the value of \(y/x\), which represents miles per hour.
To find \(y/x\): \[ \frac{y}{x} = \frac{26.2}{4} \]
Now, calculate \( \frac{26.2}{4} \): \[ \frac{26.2}{4} = 6.55 \]
Thus, John runs \(6.55\) miles per hour.
So the correct answer is: 6.55 mph