Higher June 2024 Paper 2 Q17
17 \(Q\) is directly proportional to the square root of \(d\)
\(Q = 4.5\) when \(d = 324\)
Find a formula for \(Q\) in terms of \(d\)
(3)
| Scheme | Marks |
|---|---|
| \(Q = k\sqrt{d}\) oe or \(kQ = \sqrt{d}\) or \(Q = \sqrt{kd}\) | M1 |
| eg \(4.5 = k \times \sqrt{324}\) or \(k = 0.25\) oe | M1 |
Correct answer scores full marks (unless from obvious incorrect working) Answer: \(Q = 0.25\sqrt{d}\) | A1 |
| (3) | |
| (3 marks) |
Notes
M1: \(k \neq 1\)
M1: Allow this for M2 if \(Q = k\sqrt{d}\) is not seen
Condone use of \(\propto\) for method marks
A1: oe but must be \(Q = \ldots\) eg \(Q = \dfrac{\sqrt{d}}{4}\) or \(Q = \sqrt{\dfrac{d}{16}}\) oe