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Activity 10.1b: Illustration of Percent Change with solutions

Author:UPNISMED HSM, Abi Gonzales

YOUR TASK

Determine the percentage change between two numbers using the illustrations and explain or show your solutions in the provided notes. This applet allows you to set an initial value by entering it into the INPUT BAR, which will be displayed as a green bar. The new value is shown as an orange bar, and you can modify it by dragging the orange point on the grid. To assist with visualizing the comparison, click the CHECKBOX to reveal grid lines, which help highlight the difference between the bars or focus purely on their lengths.

1. Basic Understanding

You have two bars. The green bar represents the original value of 100, and the orange bar represents a new value of 150. By how much has the value increased?

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  • D
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2. Calculation of Percentage Change

The green bar represents an initial value of 80, and the orange bar represents a new value of 100. What is the percentage increase from 80 to 100?

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3. Application of Percentage Change Using the Applet

Using the illustration in the applet, the green bar represents an original value of 200, and the orange bar shows a new value of 150. Calculate the percentage decrease.

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  • A
  • B
  • C
  • D
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4. Problem Using the Applet

In the applet, you set the original value as 120 (green bar), and the new value is set to 144 (orange bar). Explain the steps to calculate the percentage increase and show how the grid lines help visualize this change.

5. Interpretation of Percent Change and Justification

You are using the applet to analyze the difference between two values. The green bar shows 180, and the orange bar shows 135. You claim that the percentage change is a 25% decrease. Justify this claim using both the percentage calculation and the visual representation of the bars.

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