Question

What is the average rate of change of (g) between (x = 2.2) and (x = 6.1)?

A. (frac{g(6.1) - g(2.2)}{6.1 - 2.2})
B. (frac{g(2.2) - g(6.1)}{2.2 - 6.1})
C. (g(6.1) + g(2.2))
D. (g(2.2) × g(6.1))

Answer 1

The correct answer is option A, calculated using the formula for the average rate of change which is the difference in function values divided by the difference in x-values between two points.

Step-by-step explanation:

The average rate of change of a function g between two points is calculated as the difference in the function values at these points divided by the difference in the x-values of these points. In mathematical terms, this is shown as (g(b) - g(a)) / (b - a), where a and b are the x-values of the two points, and g(a) and g(b) are the function values at these points.

Applying this formula to find the average rate of change of g between x = 2.2 and x = 6.1, we use g(6.1) and g(2.2) as follows:

(g(6.1) - g(2.2)) / (6.1 - 2.2)

Therefore, the correct answer is option A: (g(6.1) - g(2.2)) / (6.1 - 2.2).