Higher November 2020 Paper 1 Q17
17 Jim buys a plant of height 20 cm
The graph shows how the height of the plant changes during the next 4 days.
Work out a formula for \(h\) in terms of \(n\). [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(h = 3n + 20\) or \(h = 20 + 3n\) | B3 | oe in the form \(h =\) B2 correct equation not in the form \(h =\) or \(3n + 20\) or \(20 + 3n\) or \(h = 3n\ (+ k)\) (\(k\) is a number or letter) or \(h = (k +)\ 3n\) (\(k\) is a number or letter) or \(h = an + 20\) (\(a \neq 0\)) or \(h = 20 + an\) (\(a \neq 0\)) B1 \(3n\ (+ k)\) (\(k\) is a number or letter) or \((k +)\ 3n\) (\(k\) is a number or letter) or \(an + 20\) (\(a \neq 0\)) or \(20 + an\) (\(a \neq 0\)) SC1 \(n = 3h + 20\) |
Additional guidance
| Allow \(h =\) in working but omitted on answer line For an equation in the form \(h =\) in working, but rearranged (correctly or incorrectly) for the answer line, award 1 mark less than the \(h =\) form | |
| Condone an unsimplified fraction for 3 if it has integer numerator and denominator eg \(h = \dfrac{12}{4}n + 20\) | B3 |
| An unsimplified fraction for 3 can still score marks if it does not have integer numerator and denominator eg \(h = \dfrac{32 - 20}{4}n + 20\) | B2 |
| Allow \(3 \times n\) or \(n \times 3\) for \(3n\) | |
| Ignore units | |
| Condone capital \(H\) or \(N\), but for incorrect variable(s) award 1 mark less than correct variable(s) would get eg1 \(h = 3x + 20\) or \(y = 3x + 20\) eg2 \(3x + 20\) eg3 \(3x\) | B2 B1 B0 |