Question

It takes Julian 1/2
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, we first need to convert Julian's walking speed into miles per hour.

Given that Julian takes 1/2 hour to walk 2 miles, we can find his speed in miles per hour as follows:

1. Convert 1/2 hour to hours:
\[
\text{1/2 hour} = 0.5 \text{ hours}
\]

2. Calculate the speed:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ miles}}{0.5 \text{ hours}} = 2 \div 0.5 = 4 \text{ miles per hour}
\]

Therefore, the constant of proportionality \( \frac{y}{x} \) (where \( y \) is the distance in miles and \( x \) is the time in hours) is:
\[
\text{The constant of proportionality is } 4 \text{ miles per hour.}
\]