To find out how many miles John runs per hour, we first need to solve the equation given in the problem, \( 4y = 26.2x \).
In this equation, \( y \) represents the speed in miles per hour (mph) and \( x \) represents the time in hours.
We're told that John runs for 4 hours, so we can substitute \( x = 4 \) into the equation:
\[ 4y = 26.2 \cdot 4 \]
Now, calculate \( 26.2 \cdot 4 \):
\[ 26.2 \cdot 4 = 104.8 \]
Now, we have:
\[ 4y = 104.8 \]
To find \( y \), we divide both sides by 4:
\[ y = \frac{104.8}{4} \] \[ y = 26.2 \]
Now, to determine the speed:
Using the speed formula which is distance divided by time, we can also confirm:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph} \]
Thus, the correct answer is:
C. 6.55 mph