Inverse Proportion Formula and Examples
Learn how inverse proportion works using and how to find the constant k. Let’s get started! 🚀

Video Lesson
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Flashcards
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🛎️ What Is Inverse Proportion?
- Inverse proportion means the product stays constant. For example, if x is doubled, y is halved, so xy stays the same.
- In exams, multiply the variables together to get the constant k. For example, if x = 3 and y = 8, then k = 3 × 8 = 24.
🛎️ Example: Inverse Proportion to x
- If y is inversely proportional to x, write xy = k.
- Multiply the given pair to find k first, then substitute the x value to find the wanted y value.
🛎️ Example: Inverse Proportion to x²
- If y is inversely proportional to x², write x²y = k.
- Multiply y by x² to find k, then substitute the x value to find the wanted y value.
🛎️ Example: Inverse Proportion to √x
- If y is inversely proportional to √x, write √x · y = k.
- Multiply √x by y to find k, then substitute the x value to find the wanted y value.
Practice Questions
Test your understanding
is inversely proportional to , and when , . What is the formula connecting and ?
Correct! 🎉 +10 pointsNot quite right
Multiply and to get : . So the formula is .
is inversely proportional to , and when , . What is when ?
Correct! 🎉 +10 pointsNot quite right
First, find : . So . When , .
is inversely proportional to , and when , . What is when ?
Correct! 🎉 +20 pointsNot quite right
First, find : . So . When , .
is inversely proportional to , and when , . What is when ?
Correct! 🎉 +20 pointsNot quite right
First, find : . So . When , .
is inversely proportional to , and when , . What is when ?
Correct! 🎉 +20 pointsNot quite right
First, find : . So . Set : , so and .
is inversely proportional to , and when , . What is when ?
Correct! 🎉 +30 pointsNot quite right
First, find : . So . When , , so .
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