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Which statement best interprets the rate of change of the linear model shown in the table? (1 point) Responses The elevation of a hiker who is hiking up from canyon floor changes at a rate of −20 feet per minute. The elevation of a hiker who is hiking up from canyon floor changes at a rate of negative 20 feet per minute. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of −20 feet per minute. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of negative 20 feet per minute. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of 20 feet per minute. The elevation of a hiker who is hiking down to a canyon floor changes at a rate of 20 feet per minute. The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute. The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.

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To accurately interpret the rate of change based on the context you provided in the question, we typically associate a negative rate with descending (going down) and a positive rate with ascending (going up).

Since the rate is given as either -20 or 20 feet per minute, it is essential to determine whether the hiker is ascending or descending:

  • If the rate of change is -20 feet per minute, it would indicate that the hiker is going down (losing elevation).
  • If the rate of change is 20 feet per minute, it would indicate that the hiker is going up (gaining elevation).

Thus, the most fitting interpretations based on this context are:

  • The elevation of a hiker who is hiking down to a canyon floor changes at a rate of negative 20 feet per minute.
  • The elevation of a hiker who is hiking up from a canyon floor changes at a rate of 20 feet per minute.

Since you are looking for the best interpretation, if the model specifically indicates a negative rate, the correct response is:

The elevation of a hiker who is hiking down to a canyon floor changes at a rate of negative 20 feet per minute.