Compute the average rate of change of y = ln x over the interval [2, 2.0001]. Round your answer to the nearest hundredth
A) $\approx$ 0.49
B) $\approx$ 0.50
C) $\approx$ 0.62
D) $\approx$ 0.81

Question

Quizplus · Accepted Answer

The formula for the average rate of change between two points is:

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

Plugging in the values for this problem, we get:

Average Rate of Change = [ln(2.0001) - ln(2)] / (2.0001 - 2) = 0.4999500025

Rounding this to the nearest hundredth gives us 0.50, which is choice B.

Compute the Average Rate of Change of Y = Ln ≈\approx≈

Compute the Average Rate of Change of Y = Ln $\approx$