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Given the function defined in the table below, find the average rate of change, in simplest form, of the...

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 5 ≤ x ≤ 9.

Answer

The average rate of change of a function over an interval [a, b] is given by the formula:

Average Rate of Change = (f(b) - f(a)) / (b - a)

For the interval 5 ≤ x ≤ 9, we have:

  1. a = 5, b = 9
  2. f(5) = 15, f(9) = 1215

Substitute these values into the formula:

Average Rate of Change = (1215 - 15) / (9 - 5) = 1200 / 4 = 300

Therefore, the average rate of change is 300.

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