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Given the table of values below, find the average rate of change of the function f(x) on the interval [7,14].

x 4 5 6 7 8 9 10 11 12 13 14
f(x) 70 94 102 123 141 162 195 199 232 238 251

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sqdancefan

9514 404 393

Answer:

  128/7 ≈ 18.29

Step-by-step explanation:

The average rate of change is the slope of the line between the two points. That is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (251 -123)/(14 -7) = 128/7 = 18 2/7 ≈ 18.29

The average rate of change is 128/7 ≈ 18.29.

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