Question

Use the table to answer the question.

X= 2.6, 3.2
Y= -6, 3

Determine the rate of change of the linear function given as a table of values.

Answer 1

To determine the rate of change of the linear function given as a table of values, we need to calculate the slope of the line connecting the two points (X1, Y1) and (X2, Y2) using the formula:

slope = (Y2 - Y1) / (X2 - X1)

From the given table of values, we have:
X1 = 2.6
Y1 = -6
X2 = 3.2
Y2 = 3

Plugging these values into the slope formula, we get:

slope = (3 - (-6)) / (3.2 - 2.6)
= (3 + 6) / (0.6)
= 9 / 0.6
= 15

Therefore, the rate of change of the linear function given by the table of values is 15.