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

6.55 mph
6.55 mph

7 mph
7 mph

0.15 mph
0.15 mph

104.8 mph

Answer 1

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

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

Since John runs for 4 hours, we can substitute \( x = 4 \) into the equation:

\[
4y = 26.2(4)
\]

Calculating the right side:

\[
4y = 104.8
\]

Now, we solve for \( y \):

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

This calculation shows that in 4 hours, he runs 26.2 miles, confirming that running 1 hour would result in:

\[
\text{Miles per hour} = \frac{26.2 \text{ miles}}{4 \text{ hours}} = 6.55 \text{ mph}
\]

So John runs at a speed of **6.55 mph**.

The correct response is:

**6.55 mph**.