John runs a marathon (26.2 miles) in four hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y = 26.2 x.
To find how many miles John runs per hour, we need to solve the equation for y.
Divide both sides of the equation by 4:
y = 26.2/4
Simplify the right side of the equation:
y = 6.55
So, John runs 6.55 miles per hour.
To determine how many miles John runs per hour, we can rearrange the given equation to solve for y, which represents the miles per hour.
4y = 26.2x
Divide both sides of the equation by 4:
y = (26.2/4)x
Simplifying the equation:
y = 6.55x
Now we can see that the equation represents the relationship where, for every x hours, John runs 6.55 miles. Therefore, John runs 6.55 miles per hour.
To determine how many miles John runs per hour, we can rearrange the given equation 4y = 26.2x to solve for y, representing the miles per hour.
Starting with 4y = 26.2x, divide both sides by 4 to isolate y:
4y/4 = (26.2x) / 4
Simplifying, we get:
y = (26.2/4)x
Now, substitute the value of x with the number of hours John runs, which is 4 since he runs for four hours:
y = (26.2/4) * 4
Calculating the equation further, we have:
y = 6.55 * 4
y = 26.2
Therefore, John runs at a speed of 26.2 miles per hour.