Exploring Constant Rate of Change in 8th Grade Math

This video tutorial covers the concept of constant rate of change in linear relationships. It provides examples such as account balance changes and volunteer data to illustrate how to determine if a relationship is linear and how to find the constant rate of change. The tutorial also explains how to identify proportional relationships by comparing ratios. Additional examples include analyzing distance and time data, and matching tables with their rates of change.

What is the constant rate of change in a linear relationship?

• The product of changes in x and y

• The sum of changes in x and y

• The change in x divided by the change in y

• The change in y divided by the change in x

If a balance decreases by $30 for every 3 transactions, what is the constant rate of change?

• 30

• -10

• -30

• 10

Why is a relationship not linear if the rate of change is not constant?

• Because the graph will not be a straight line

• Because the graph will be a straight line

• Because the x-values are not changing

• Because the y-values are not changing

How do you determine the constant rate of change from a table of values?

• By multiplying the changes in y and x

• By subtracting the changes in y from the changes in x

• By adding the changes in y and x

• By dividing the change in y by the change in x for each pair of points

What is the constant rate of change if y decreases by 20 and x increases by 8?

• 20

• 2.5

• -20

• -2.5

How can you determine if two quantities are proportional?

• By comparing the sum of changes in y and x

• By comparing the difference of changes in y and x

• By comparing the ratio of change in y over change in x for several pairs of points

• By comparing the product of changes in y and x

If the ratio of change in y over change in x is the same for all pairs of points, what does this indicate?

• The relationship is proportional

• The relationship is not proportional

• The relationship is linear

• The relationship is not linear

What is the constant rate of change if y increases by 15 and x increases by 2?

• 7.5

• 15

• 2

• 7

If a table shows y increasing by 10 and x increasing by 1, what is the constant rate of change?

• 100

• 0.1

• 1

• 10

What is the constant rate of change if y increases by 12 and x increases by 5?

• 5

• 0.4

• 12

• 2.4