Question

What is the rate of change? x 12 7 2 y 8 10 12 a. -5/2 b. -2/5 Selected:c. 5/2This answer is incorrect. d. 2/5

Answer 1

Given:

The table of values.

x: 12 7 2

y: 8 10 12

To find:

The rate of change.

Solution:

If two points are given then the formula for slope or rate of change is

`m=(y_2-y_1)/(x_2-x_1)`

Consider any two points from the given table.

Consider the two points (12,8) and (7,10). So, the rate of change is

`m=(10-8)/(7-12)`

`m=(2)/(-5)`

`m=-(2)/(5)`

Therefore, the correct option is b.