How to Identify the Greatest Rate of Change

The video tutorial explains how to determine the greatest rate of change among four options in a standardized math test question. It introduces the concept of slope as the rate of change, calculated as rise over run. The tutorial analyzes each option: choice A with a slope of 2, choice B with a slope of 5 derived from a table, choice C with a slope of 3, and choice D with a slope of 4 from a graph. The conclusion identifies choice B as having the greatest rate of change with a slope of 5.

What does the term 'greatest rate of change' refer to in a linear relationship?

• The smallest slope value

• The slope value closest to zero

• The highest slope value

• The average slope value

In a table of values, if the change in Y is 5 and the change in X is 1, what is the slope?

• 10

• 0.2

• 5

• 1

If a line rises 9 units for every 3 units it runs, what is the slope?

• 1

• 3

• 9

• 27

Which choice has the greatest rate of change if the slopes are 2, 5, 3, and 4?

• Choice A with slope 2

• Choice B with slope 5

• Choice D with slope 4

• Choice C with slope 3

What is the slope if a graph shows a rise of 4 and a run of 1?

• 1

• 2

• 4

• 3