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Direct and inverse proportionality

Mathematics — first biennium · Lesson

Cartesian plane · Functions

Direct and inverse proportionality

In direct proportion y/x stays constant; in inverse proportion the product x·y stays constant.

Key idea
Formula matematica
Similar example
Formula matematica
What you need to know before the exercises

In this lesson: Distinguish direct and inverse proportionality and determine the constant k from data.

How to proceed: Run the same check on at least two rows: if y/x stays equal you have direct proportion; if x·y stays equal you have inverse proportion.

You can already assume: Ratios and function representations.

Try it now

Look at the table and identify the model before calculating k.

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

How to reason

Run the same check on at least two rows: if y/x stays equal you have direct proportion; if x·y stays equal you have inverse proportion.

Given data: x=2, y=5; x=4, y=10; x=6, y=15

xy
25
410
615
Your competency map

What you need to know for Direct and inverse proportionality

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Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

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