Use the table to answer the question.

Question

X | Y
2.6 | -6
3.2 | 3
Determine the rate of change of the linear function given as the table of values.
(1 point)

A. m = 0.067

B. m = 15

C. m = -5

D. m = -15

Answer 1

To determine the rate of change of the linear function, we need to find the slope of the line connecting the two points in the table.

The slope formula is:
m = (Y₂ - Y₁) / (X₂ - X₁)

Using the values from the table, we have:
Y₂ = 3
Y₁ = -6
X₂ = 3.2
X₁ = 2.6

Plugging these values into the slope formula, we get:
m = (3 - (-6)) / (3.2 - 2.6)
m = 9 / 0.6
m = 15

Therefore, the rate of change of the linear function is m = 15.

The correct answer is B. m = 15.