Based on the table, which value represents the rate of change for this situation?

Question

X = 1,3,6,7
Y = 21,15,6,3

Answer 1

The rate of change can be found by looking at the differences between consecutive y-values and dividing by the corresponding differences in x-values.

Using the values in the table:
From x=1 to x=3, the rate of change is (15-21) / (3-1) = -3
From x=3 to x=6, the rate of change is (6-15) / (6-3) = -3
From x=6 to x=7, the rate of change is (3-6) / (7-6) = -3

Therefore, the rate of change for this situation is -3.