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)
Responses
7 mph
7 mph
104.8 mph
104.8 mph
6.55 mph
6.55 mph
0.15 mph
0.15 mph
To determine how many miles John runs per hour, we need to solve the equation for y, which represents the number of miles he runs per hour.
Given:
4y = 26.2x
Since John runs the marathon (26.2 miles) in 4 hours, we can substitute x = 4 into the equation:
4y = 26.2(4)
4y = 104.8
Now, we can solve for y by dividing both sides of the equation by 4:
4y/4 = 104.8/4
y = 26.2
Therefore, John runs at a pace of 6.55 mph (miles per hour).
So the correct answer is:
6.55 mph