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Unit 10 · Skill 3 of 3

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Exponential Decay

Model depreciation and radioactive decay.

1️⃣

Watch the video

Start here (or skip if you already know it)

2️⃣

Visualize it

Explore it, then spot the correct graph

3️⃣

Practice problems

Answer 3 problems (80%+ correct)

Step 1: Watch

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Exponential Growth and Decay

The Organic Chemistry Tutor · 12:49

Step 2: Visualize

Play with the interactive model to see how the math works, then test yourself by spotting the correct graph.

Move the controls and watch the math change — build a picture in your head before you solve.

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The big idea

Decay: y = a(1 − r)ᵗ where r is the decay rate.

Try the Quiz tab to test your visual intuition for this skill.

Step 3: Practice

Answer 3 problems with at least 80% correct to complete this skill.

Problem 1

A car worth $20,000 depreciates 15% per year. Value after 1 year?

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