The reasonable domain of this function would depend on the context of the situation. If it is assumed that each person must pay an admission fee to enter the amusement park, then the domain would be all positive real numbers representing the number of people who enter the park. However, if there are restrictions on the number of people who can enter the park at a given time, then the domain may be limited to a specific range of values (e.g. between 0 and the maximum capacity of the park).
As for connecting the dots on the graph, it would depend on the nature of the data and the context of the situation. If the data points represent discrete values (e.g. number of people entering is counted in whole numbers) and there is no clear relationship between the data points, then it may not make sense to connect the dots. On the other hand, if there is a pattern or trend in the data that suggests a continuous relationship, then connecting the dots may be appropriate. It would ultimately depend on the purpose of the graph and what information is being conveyed.
The graph shows the amount of profit earned (y-axis) per person (x-axis) who enter an amusement park. What is a reasonable Domain of this function?
Does it make sense to connect the dots?
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