Final answer:
A) The number of bottles of apple juice in a grocery store compared with the day of the week is most likely to have a constant rate of change.
Step-by-step explanation:
A) The number of bottles of apple juice in a grocery store compared with the day of the week:
This scenario is likely to have a constant rate of change. The number of bottles of apple juice in a grocery store is not dependent on the day of the week, so the rate of change would remain constant.
B) The number of people inside a football stadium compared with the amount of time the stadium is opened:
This scenario is unlikely to have a constant rate of change. The number of people inside a football stadium can vary depending on events, time of day, and other factors, so the rate of change would not be constant.
C) The number of trophies a gymnast has compared to her age:
This scenario is unlikely to have a constant rate of change. The number of trophies a gymnast has would typically increase as she gets older, so the rate of change would not be constant.
D) The distance of a bike ride compared with the number of times the cyclist rode around a lake:
This scenario is likely to have a constant rate of change. The distance of a bike ride is directly proportional to the number of times the cyclist rode around a lake, so the rate of change would remain constant.