Higher November 2024 Paper 3 Q23
23 The distance of a particle from a point is \(d\) metres after \(t\) seconds.
| \(d = a \times b^t \quad\) where \(a\) and \(b\) are constants |
Work out the values of \(a\) and \(b\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Constructs any equation using coordinates | M1 | eg \(3 = a \times b^0\) or \(3 = a \times 1\) \(6 = a \times b^1\) \(12 = a \times b^2\) \(24 = a \times b^3\) \(48 = a \times b^4\) |
| \(a = 3\) and \(b = 2\) | A2 | A1 \(a = 3\) |
Additional guidance
| M1 may be awarded for correct work, with no answer or incorrect answer, even if this is seen amongst multiple attempts | |
| \(a = 3\) with no working | M1A1 |
| \(b = 2\) with no working and \(a \ne 3\) | M0A0 |