Question

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 104.8 mph 104.8 mph 0.15 mph 0.15 mph 6.55 mph 6.55 mph 7 mph

Answer 1

To determine how many miles John runs per hour, we can start with the equation given, which relates the time (in hours) he runs to the distance (in miles):

\[ 4y = 26.2x \]

In this equation:
- \( y \) represents the distance in miles.
- \( x \) represents the time in hours.

Since John runs for 4 hours, we will set \( x = 4 \).

Now, substituting \( x \) into the equation:

\[ 4y = 26.2(4) \]

Calculating the right side:

\[ 4y = 104.8 \]

Now, to find \( y \), we can divide both sides of the equation by 4:

\[ y = \frac{104.8}{4} \]

Calculating this gives:

\[ y = 26.2 \]

This result represents the total distance he runs in 4 hours.

To find the speed in miles per hour, we can also calculate by dividing the total distance by the total time:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{26.2 \text{ miles}}{4 \text{ hours}} \]

Calculating:

\[ \text{Speed} = 6.55 \text{ mph} \]

So, the answer is:

**6.55 mph**.