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Illustration of Percent Change

Description of the GeoGebra applet:

This GeoGebra applet lets you set an original value by typing it into the INPUT BAR. The initial value is represented by the green bar. In contrast, the new value is represented by the orange bar. You can adjust the new value by dragging the orange point on the grid. Finally, you can click the CHECKBOX to show or hide the grids on the bars.

Your Task

Given each set of original and new values below, determine the percentage change between them using the illustrations. Explain or show your solutions in the notes provided.

Set 1

Original value: 25 New Value: 40

ILLUSTRATING CHANGE IN VALUE

Was the percentage change an increase or a decrease?"

Select all that apply
  • A
  • B
Check my answer (3)

DETERMINING THE PERCENTAGE CHANGE

What is the percentage change between the two values?

Set 2

Original value: 120 New Value: 84

ILLUSTRATING CHANGE IN VALUE

Was the percentage change an increase or a decrease?"

Select all that apply
  • A
  • B
Check my answer (3)

DETERMINING THE PERCENTAGE CHANGE

What is the percentage change between the two values?

Set 3

Original value: 0.8 New Value: 1.92

ILLUSTRATING CHANGE IN VALUE

Was the percentage change an increase or a decrease?"

Select all that apply
  • A
  • B
Check my answer (3)

DETERMINING THE PERCENTAGE CHANGE

What is the percentage change between the two values?

Set 4

Original value: 98% New Value: 196%

ILLUSTRATING CHANGE IN VALUE

Was the percentage change an increase or a decrease?"

Select all that apply
  • A
  • B
Check my answer (3)

DETERMINING THE PERCENTAGE CHANGE

What is the percentage change between the two values?