To determine the constant of proportionality related to Julian's walking pace, we need to calculate his walking speed. We can do this using the information given about time and distance.
Julian takes 1.2 hours to walk 2 miles. The constant of proportionality in this context represents his speed, which can be expressed as a distance per unit of time (miles per hour).
To find the speed (constant of proportionality), we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Substituting in the values provided:
\[ \text{Speed} = \frac{2 \text{ miles}}{1.2 \text{ hours}} \approx 1.67 \text{ miles per hour} \]
Thus, the constant of proportionality, which in this case is Julian's walking speed, is approximately 1.67 miles per hour.
If he created a data table for his walking distances based on various times, the ratio of distance to time for any entry in that table would also reflect this constant of proportionality (1.67), confirming that distance is proportional to time when represented in that manner.