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)
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.
To determine how many miles John runs per hour, we need to solve the equation 4y = 26.2x for y.
Dividing both sides of the equation by 4, we get:
y = (26.2/4)x
Simplifying the right side of the equation, we have:
y = 6.55x
This equation represents the proportional relationship between the number of hours (x) and the number of miles John runs (y) per hour. Therefore, John runs 6.55 miles per hour.