Final answer:
The scenario where a cyclist rides around a lake exhibits a constant rate of change, as each lap is expected to cover the same distance, showing a direct relationship between number of laps and distance traveled. Option D.
Step-by-step explanation:
If we are to determine which situation most likely has a constant rate of change, we need to look for a consistent, predictable change over time or another variable.
When examining the options provided, the distance of a bike ride compared with the number of times a cyclist rode around a lake is the scenario that exemplifies this concept.
This is because each lap around the lake is expected to cover an equal distance, showing a direct and constant relationship between the number of laps and the total distance traveled.
In contrast, the number of bottles of apple juice in a grocery store would vary widely depending on sales and restocking.
The number of people inside a football stadium would fluctuate based on various factors including time of day and events, and the number of trophies a gymnast has would accumulate at irregular intervals dependent on competitions and wins.
Rate of change of velocity and rate of change of momentum are examples from physics that describe how an object's motion changes over time, but they do not directly apply to the examples given.
Instead, in the context of the multiple choices provided, it's the consistent laps around the lake that match our requirement for a constant rate of change.
So Option D is correct.