It takes Julian 12

Question

hour to walk 2 miles. He decides to start working in his spare time, but because he wants to make sure he has enough time to go a desired distance he created the data table. Determine the constant of proportionality, yx
.

(1 point)
The constant of proportionality is
miles per hour for this situation.
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Answer 1

To determine the constant of proportionality \( k \) in this situation, we first need to establish Julian's walking speed in miles per hour.

We know that:

• It takes Julian 12 hours to walk 2 miles.

To find the speed in miles per hour, we can use the formula:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]

Plugging in the values:

\[ \text{Speed} = \frac{2 \text{ miles}}{12 \text{ hours}} = \frac{1}{6} \text{ miles per hour} \]

Therefore, the constant of proportionality \( k \), which represents Julian's walking speed, is:

\[ \frac{1}{6} \text{ miles per hour} \]

So, the answer is:

The constant of proportionality is \( \frac{1}{6} \) miles per hour for this situation.