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djverab [1.8K]
3 years ago
11

What is the average rate of change for the sequence shown below? a coordinate plane showing the points negative 1, 4. 1, 3. 3, 2

. 5, 1.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer: - 1/2 = - 0.5


Explanation:


1. Make the sequence clear. These are the given points (x,y):

  • (-1, 4)
  • (1, 3)
  • (3, 2)
  • (5, 1)

2. The average rate of change only takes into account the last and the first pairs of your intervals, those are (5, 1) and (-1, 4).

Average rate of change = [change in y] / [change in x] = [1 - 4] / [5 - (-1) ] =

  = - 3 / 6 = - 1/2 = - 0.5  ← answer


The averate ratre of change is the slope of the line that joins the first and last points. The fact that the result is negative means that there was a net decrease of the values.

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