Page 1: Introduction to Inverse Proportion

This page introduces the concept of inverse proportion and provides an example problem with a detailed solution. It also presents exam-style questions to reinforce understanding.

Definition: Inverse proportion occurs when as one quantity increases, the other decreases in proportion so that their product remains constant.

The page begins with a simple example:

Example: y is inversely proportional to x. When x=2, y=6. Find the value of y when x=4.

The solution is provided step-by-step, demonstrating how to find the constant of proportionality and use it to calculate the new value of y.

Highlight: The key formula for inverse proportion is y = k/x, where k is the constant of proportionality.

The page then presents two exam-style questions:

1. A problem where y is inversely proportional to x, with given values to find an equation and calculate a new y value.
2. A more complex problem involving inverse proportion with x².

These questions provide excellent practice for inverse proportion word problems and help students prepare for exams.

Vocabulary: Constant of proportionality - The value that remains constant in an inverse proportion relationship, often denoted as k.