Question

Examine the table, which represents a linear function. Input (C) Output (y) 8 -40 -49 58 -67 What is the rate of change of the function? Enter your answer as a number, like this: 42

Answer 1

The rate of change is also known as the slope

slope = (y2 - y1)/(x2 - x1)

from the table,

y2 = - 49, x2 = 11

y1 = - 40, x1 = 8

Slope = (- 49 - - 40)/(11 - 8) = (- 49 + 40)/3

Slope = - 9/3 = - 3

The rate of change is - 3