Explaining the Effect of Changing One Part of an Expression

The video tutorial explains how to measure change in expressions by analyzing their components. It covers absolute change and scale factor, using a tree height example to illustrate the concepts. A packaging design problem is introduced, where Katie needs to redesign a cylindrical can for bubble gum. The tutorial demonstrates how changes in height and volume affect the can's dimensions, emphasizing the importance of correctly interpreting changes. The lesson concludes with a focus on understanding the effects of altering expression components.

What is the absolute change in the height of a tree that grows from 4 feet to 8 feet?

How can the change in the height of the tree be expressed as a scale factor?

What is the formula used to relate the can's radius, height, and volume?

If Katie wants to redesign the can to be 4 times taller, what will happen to the radius?

If the volume of the can is increased to four times larger, how does that affect the radius?