Use the table to answer the question. x y 2.6 −6 3.2 3 Determine the rate of change of the linear function given as a table of values.
To determine the rate of change of the linear function, we need to find the difference in y-values for a given difference in x-values.
For the first set of values, from x = 2.6 to x = 3.2, the difference in y-values is:
y = 3 - (-6) = 9
The difference in x-values is:
3.2 - 2.6 = 0.6
Therefore, the rate of change for this linear function is:
Rate of change = (Change in y) / (Change in x) = 9 / 0.6 = 15