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)
CORRECT ANSWERS ONLY.
To find the number of miles John runs per hour, we need to solve for y in the equation 4y = 26.2x.
First, divide both sides of the equation by 4 to isolate y:
y = (26.2/4)x.
Since the equation represents a proportional relationship, the value of y represents the number of miles John runs per hour (miles/hour).
Therefore, John runs 26.2/4 miles per hour.
The simplified answer is:
John runs 6.55 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 = 26.2/4x
Simplifying further:
y = 6.55x
This equation represents a proportional relationship. The value of y represents the number of miles John runs, and the value of x represents the number of hours.
Therefore, for every 1 hour (x), John runs 6.55 miles (y).
So, John runs 6.55 miles per hour.
To find out how many miles John runs per hour, we need to solve the equation 4y = 26.2x for y, where y represents the number of miles John runs per hour.
Let's rearrange the equation to solve for y:
4y = 26.2x
Divide both sides of the equation by 4:
y = (26.2/4)x
Simplify:
y = 6.55x
From this equation, we can see that the coefficient of x (6.55) represents the number of miles John runs per hour. Therefore, John runs 6.55 miles per hour.