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)
• 104.8 mph
• 7 mph
• 6.55 mph
• 0.15 mph

1 answer

To determine how many miles John runs per hour, we can use the equation given:

\[ 4y = 26.2x \]

Here, \(y\) represents the speed in miles per hour (mph), and \(x\) represents the time in hours. We know that \(x = 4\) hours for John's marathon run.

Substituting \(x = 4\) into the equation:

\[ 4y = 26.2 \cdot 4 \]

Calculating \(26.2 \cdot 4\):

\[ 26.2 \cdot 4 = 104.8 \]

Now, we have:

\[ 4y = 104.8 \]

To find \(y\), divide both sides by 4:

\[ y = \frac{104.8}{4} = 26.2 \]

To determine miles per hour, we find:

\[ \text{Speed} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph} \]

Therefore, John runs at a speed of 6.55 mph.

The correct answer is: 6.55 mph.