It takes Julian 1/2

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 (which, in this case, represents Julian's walking speed), we need to calculate his speed in miles per hour.

Julian walks 2 miles in \( \frac{1}{2} \) hour.

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

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

Here, the distance is 2 miles and the time is \( \frac{1}{2} \) hour:

\[ \text{Speed} = \frac{2 \text{ miles}}{\frac{1}{2} \text{ hour}} = 2 \div \frac{1}{2} = 2 \times 2 = 4 \text{ miles per hour} \]

Therefore, the constant of proportionality is 4 miles per hour.