Explanation:
To find the average rate of change for the function y = 3(1.3)^x on the interval x = -2 to x = 4, we need to calculate the difference in y-coordinates divided by the difference in x-coordinates.
At x = -2, y = 3(1.3)^(-2) ≈ 3(0.5906) ≈ 1.7718.
At x = 4, y = 3(1.3)^4 ≈ 3(7.196) ≈ 21.588.
The difference in y-coordinates is 21.588 - 1.7718 ≈ 19.8162, and the difference in x-coordinates is 4 - (-2) = 6.
Therefore, the average rate of change is (19.8162) / (6) ≈ 3.3027.