Higher November 2023 Paper 6 Q10
10
(a) \(x\) and \(y\) are related by the equation \(xy = 36\).
Tick the correct statement.
- ☐ \(y\) is directly proportional to \(x\)
- ☐ \(y\) is inversely proportional to \(x\)
- ☐ \(y\) is not proportional to \(x\) [1]
(b) \(y\) is inversely proportional to \(x^4\).
\(y = 2.5\) when \(x = 2\).
\(y = 2.5\) when \(x = 2\).
Find a formula linking \(x\) and \(y\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y\) is inversely proportional to \(x\) | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = \frac{40}{x^4}\) oe | 3 | M1 for \(y = \frac{k}{x^4}\) oe or \(2.5 = \frac{k}{2^4}\) oe B1 for [\(k =\)] 40 | |