Testing and graphing inverse proportion
Testing and graphing inverse proportion
Secondary 2
The table shows some corresponding values of \(x\) and \(y\).
| \(x\) | \(1\) | \(1.25\) | \(2\) | \(4\) | \(10\) |
|---|---|---|---|---|---|
| \(y\) | \(20\) | \(16\) | \(10\) | \(5\) | \(2\) |
- Find the value of \(\dfrac{1}{x}\) for each value of \(x\).
- Draw the graph of \(y\) against \(\dfrac{1}{x}\) for \(0<\dfrac{1}{x}\le1\).
- Explain how your graph shows that \(y\) is inversely proportional to \(x\), and write down the equation connecting \(x\) and \(y\).
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(1,\ 0.8,\ 0.5,\ 0.25,\ 0.1\)
(b) Straight line through \(O\) and \((1,20)\)
(c) \(y=\dfrac{20}{x}\)
Need help? Join our E-Maths tuition for O-Level success.
Learn more