Answer :
Final answer:
The constant of proportionality, or average speed, of the speed skater is approximately 14.09 meters per second when rounded to the nearest hundredth.
Explanation:
To find the constant of proportionality, which is the average speed of the speed skater, we need to divide the total distance covered by the total time taken. In this case, the skater covered 1500 metres in 106.43 seconds.
The formula for average speed (v) is:
v = distance / time
Plugging our values into this formula:
v = 1500 m / 106.43 s
After performing the division, we get:
v ≈ 14.09 m/s
This value is rounded to the nearest hundredth as the question requires.