Question

Let g be a linear function with g(8)-g(5)=-27. Find the average rate of change of g on the interval [-11,-8].

Answer 1

The average rate of change of g on the interval [-11,-8] is -9.

Step-by-step explanation:

To find the average rate of change of g on the interval [-11,-8], we need to evaluate the change in y-values divided by the change in x-values. We are given that g(8) - g(5) = -27, which means the y-values change by -27. The x-values change by (8 - 5) = 3. So, the average rate of change of g on the interval [-11,-8] is -27/3 = -9.