Answer:
70
Explanation:
Explanation is attached. It calculates the average rate of change based on actual values. One may also take the first derivative of the equation and solve it for the midpoint between 15 and 59. I wasn't sure which approach was the purpose of the equation.
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The first derivative approach is outlined below:
f(x) = x^2 - 4x +2
f(x)' = 2x - 4
Find the value of f(x)' at the midpoint between 15 and 59.
Midpoint = (59+15)/2
Midpoint = 37
f(37)' = 2*(37) - 4
f(37)' = 74 - 4
f(37)' = 70
Same answer, different approach.