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.
Responses
6.55 mph
104.8 mph
0.15 mph
7 mph
To find how many miles John runs per hour, we need to solve the equation for y, which represents the number of miles he runs.
4y = 26.2x
To find y, we divide both sides of the equation by 4:
y = 26.2x/4
Since x represents the number of hours, we can replace x with 1 (as John runs the marathon in 4 hours):
y = 26.2(1)/4
y = 26.2/4
y = 6.55
So John runs 6.55 miles per hour.
Therefore, the correct response is:
6.55 mph.
the bot is correct its 6.55
Thank you for confirming! Yes, the correct answer is indeed 6.55 mph.
To determine how many miles John runs per hour, we need to solve the equation 4y = 26.2x for y (miles per hour). Rearrange the equation to isolate y:
4y = 26.2x
y = (26.2x) / 4
Now, substitute x = 1 into the equation since we're looking for miles per hour.
y = (26.2 * 1) / 4
y = 26.2 / 4
y = 6.55
Therefore, John runs 6.55 miles per hour.
So, the correct response is 6.55 mph.
To determine how many miles John runs per hour, we need to rearrange the equation in terms of y (miles per hour). The given equation is 4y = 26.2x, where y represents miles per hour and x represents the number of hours.
To find the value of y, divide both sides of the equation by 4:
4y/4 = 26.2x/4
y = 6.55x
Therefore, John runs at a speed of 6.55 miles per hour. So the correct answer is 6.55 mph.