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 mph

1 answer

To find out how many miles John runs per hour, we can rearrange the equation given in the problem:

\[ 4y = 26.2x \]

Here, \( y \) represents miles per hour and \( x \) represents hours. We can solve for \( y \) by isolating it:

  1. Divide both sides by 4:

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

Since John runs for \( x = 1 \) hour, we can plug this value into the equation:

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

Now, calculate \( 26.2 \div 4 \):

\[ 26.2 \div 4 = 6.55 \]

Thus, John runs at a speed of:

6.55 mph

So the correct response is:

6.55 mph