# Lesson Synthesis### Task:Describe a strategy for determining the input when you know the percent change and the output. Use this example if it helps you to explain your thinking.### Example:There is a conveyor belt illustration depicting a process where an unknown input value decreases by 40%, resulting in an output value of 14.4. #### Illustration Details:- **Left Side:** A box with a question mark represents the unknown input value.- **Middle:** A mechanism labeled "Decrease by 40%" processes the input.- **Right Side:** The output value of 14.4 appears after the process.#### Thought Exercise:To find the original input, consider using the formula for percentage decrease:\[ \text{Original Value} = \frac{\text{Output Value}}{1 - \frac{\text{Percentage Decrease}}{100}} \]For this example, compute:\[ \text{Original Value} = \frac{14.4}{1 - 0.4} \]This thought process will help in determining strategies for solving similar problems.

Someone is aware of the output and percent change. It is required to provide a method for…

? Decrease by 40% Lesson Synthesis 14.4 Describe a strategy for determining the input when you know the percent change and the output. Use this example if it helps you to explain your thinking. Share With Class

? Decrease by 40% Lesson Synthesis 14.4 Describe a strategy for determining the input when you know the percent change and the output. Use this example if it helps you to explain your thinking. Share With Class

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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# Lesson Synthesis

### Task:
Describe a strategy for determining the input when you know the percent change and the output. Use this example if it helps you to explain your thinking.

### Example:
There is a conveyor belt illustration depicting a process where an unknown input value decreases by 40%, resulting in an output value of 14.4.

#### Illustration Details:
- **Left Side:** A box with a question mark represents the unknown input value.
- **Middle:** A mechanism labeled "Decrease by 40%" processes the input.
- **Right Side:** The output value of 14.4 appears after the process.

#### Thought Exercise:
To find the original input, consider using the formula for percentage decrease:

\[ \text{Original Value} = \frac{\text{Output Value}}{1 - \frac{\text{Percentage Decrease}}{100}} \]

For this example, compute:

\[ \text{Original Value} = \frac{14.4}{1 - 0.4} \]

This thought process will help in determining strategies for solving similar problems.

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