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

7 mph
7 mph

6.55 mp

1 answer

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

\[ 4y = 26.2x \]

Here, \( x \) represents the number of hours and \( y \) represents the miles ran per hour.

Since John runs for 4 hours (so \( x = 4 \)), we can substitute this into the equation to solve for \( y \):

\[ 4y = 26.2 \times 4 \]

Calculating that:

\[ 4y = 104.8 \]

Now, divide both sides by 4 to solve for \( y \):

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

Now we find out how many miles he runs in one hour:

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

Thus, the correct response is:

6.55 mph