Find the rate of change from the table of values representing a linear function.

Question

x 3 4 5 6
y 10 13 16 19

3
-3
2
1

Answer 1

The rate of change can be found by calculating the difference in y-values for each pair of consecutive x-values.

For the given table of values, the rate of change is as follows:
Rate of change between x = 3 and x = 4: y(4) - y(3) = 13 - 10 = 3
Rate of change between x = 4 and x = 5: y(5) - y(4) = 16 - 13 = 3
Rate of change between x = 5 and x = 6: y(6) - y(5) = 19 - 16 = 3

Therefore, the rate of change for the linear function represented by this table of values is 3.