John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.(1 point)

1 answer

To determine the number of miles John runs per hour, we need to find the value of x or y in the equation.

The equation 4y = 26.2x represents the proportional relationship between the number of hours (x) and the number of miles (y).

Since John runs a marathon (26.2 miles) in 4 hours, we can plug in the values of the marathon distance and the time into the equation:

4y = 26.2 * 4

Simplifying the equation:

4y = 104.8

Next, we divide both sides of the equation by 4 to solve for y:

y = 104.8/4

y = 26.2

Therefore, John runs 26.2 miles per hour.