Foundation November 2022 Paper 3 Q11
11 Here is a function machine.
(a)
(i) Find the output when the input is 10. [1]
(ii) Find the input when the output is 17. [2]
(b) The input is \(x\) and the output is \(y\).
Write an equation for \(y\) in terms of \(x\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 37 | 1 | ||
| (ii) 5 cao | 2 | M1 for either step reversed soi | May be seen on diagram eg \(+ 3\), \(\div 4\), 20 implies \(17 + 3\) or \(17 + 3 \div 4\) or answer 17.75 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = 4x - 3\) final answer | 2 | M1 for final answer \(4x - 3\) or \(y = 4x + 3\) or \(y = kx - 3\) \((k \ne 0)\) or \(y = 4x - c\) where \(c \gt 0\) If 0 scored SC1 for final answer \(x = \dfrac{y + 3}{4}\) | Accept throughout \(y\) on right e.g. \(4x - 3 = y\) Accept throughout \(x \times 4\) or \(x4\) or \(x \times k\) etc but not \(x^4\) \(y = 4(x - c)\) \(4x - 3y\) scores 0 Do not accept arrows e.g. \(4 \rightarrow \times x \rightarrow 3 \rightarrow y\) |