Activity 11.1: Solving for Original Values

Topic:Numbers, Percentages, Rational Numbers, Ratios

YOUR TASK

Generate five sets of values. For each set of values generated, calculate the original value based on the percent change and write down your solution process. This applet generates a random set of values and displays two bars: a gray bar showing the percent change and an orange bar representing the resulting value. To determine the original value, use the information provided, calculate the original value, and enter it into the INPUT BAR. If your answer is correct, a checkmark will appear. If needed, click the CHECKBOX to reveal a hint for solving the original value. Repeat this process for five different sets of values and explain your solutions.

First set of values

Second set of values

Third set of values

Fourth set of values

Fifth set of values

Understanding

The applet shows that the resulting value (orange bar) is 90 after a 10% decrease (gray bar). What was the original value?

Select all that apply

A
80
B
90
C
100
D
110

Check my answer (3)

Application of Percentage Change

In the applet, the orange bar shows a resulting value of 150, and the gray bar indicates a 25% increase. What was the original value, and show how you calculated it.

Interpretation and Justifications

In the applet, the gray bar shows a 15% decrease, and the orange bar shows a resulting value of 85. Calculate the original value, and justify your solution by explaining each step and how the applet helps visualize the process.

Problem Solving and Analysis

The applet generates five sets of values. In one set, the orange bar shows a resulting value of 240, and the gray bar represents a 33.33% increase. Calculate the original value for this set and explain how the grid lines and visual cues in the applet helped you verify the calculations. Then, complete the process for four additional sets.