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 0.15 mph 0.15 mph 6.55 mph 6.55 mph 104.8 mph

Answer 1

To find out how many miles John runs per hour, we can manipulate the given equation \(4y = 26.2x\).

1. Identify the variables:
   Here, \(y\) represents the number of miles he runs per hour, and \(x\) represents the time in hours.

2. Rearranging the equation:
   We can isolate \(y\) by dividing both sides of the equation by 4: \[ y = \frac{26.2}{4}x \]

3. Calculating Miles Per Hour:
   Since John runs for 4 hours (which means \(x = 4\)), we can substitute \(x\) with 1 hour to find \(y\): \[ y = \frac{26.2}{4} \approx 6.55 \]

Therefore, the number of miles John runs per hour is approximately 6.55 mph.

Thus, the correct response is 6.55 mph.