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Answer :
Final answer:
Determining whether Rob's and Janet's functions are linear would involve considering if the distance their dogs are moving away from them over time is constant. Linear functions have consistent rates of change, are represented graphically by straight lines, and can be represented by the equation y = mx + b.
Explanation:
In order to determine whether a function is linear or not, we need to identify whether it has a constant rate of change. Linear functions are represented by straight lines when graphed and by equations of the form y = mx + b, where m represents the slope or rate of change and b is the y-intercept.
For Rob's and Janet's dogs, this means that if the change in distance over time is constant, their functions are linear. For example, if every second the dog moves a constant distance away or towards them, then the function is linear. If the graph is a straight line or if the rates of changes in the table are constant, then we can confirm a linear relationship.
Without the actual table or graph, it's impossible to conclusively answer the question as to whether Rob's and/or Janet's functions are linear. We would need to examine each to determine the rate of change. A consistent rate of change would indicate a linear function, whereas varying rates of change may suggest a different type of function.
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