Stage 22 · Inverse-Proportion Functions

22.1.2 When the Product Stays the Same

22.1 From Linear to Inverse: A New Kind of Pairing

Point 2 of 6

22.1.2 When the Product Stays the Same

Core idea

For a rectangle of fixed area, the longer the length the narrower the width, with length times width always the same, so hold onto xy=k.

Module goal. Building on linear functions, draw out the inverse-proportion function from everyday situations where two quantities multiply to a fixed amount, then set up the concept and its expression.
eastmath.com · 22.1 From Linear to Inverse: A New Kind of Pairing · 22.1.2 When the Product Stays the Same