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 height if a tree grows from 4 feet to 8 feet?

• 2 feet

• 16 feet

• 4 feet

• 8 feet

If a tree's height doubles, how can this change be expressed as a scale factor?

• 2 times taller

• 3 times taller

• 1.5 times taller

• 4 times taller

Katie wants to make the can 4 times taller. If the original radius is 6 inches, what will the new radius be?

• 12 inches

• 9 inches

• 6 inches

• 3 inches

What happens to the radius of the can if its volume is increased fourfold?

• It becomes half

• It triples

• It remains the same

• It doubles

If the original radius of the can is 6 inches and the volume is increased fourfold, what is the new radius?

• 12 inches

• 9 inches

• 24 inches

• 6 inches