Higher November 2022 Paper 6 Q13
13
(a) Here is a function.

When the input is 6, the output is 18.
Find the value of \(t\). [3]
(b) Here is another function.
When the input is \(x\), the output is \(y\).
When the input is \(x\), the output is \(y\).

Write an algebraic expression for \(x\) in terms of \(y\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\frac{10}{3}\) oe | 3 | M2 for 6\(t\) – 2 = 18 oe or M1 for 6\(t\) – 2 or 18 + 2 or 20 | 3.33[3…] or unsimplified, e.g. 20/6 e.g. 6 = 20/\(t\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| [\(x\) =] 4(\(y\) – 3) oe | 2 | M1 for \(y = \frac{x}{4} + 3\) or better or for correct reverse flowchart with arrows reversed ← ×4 ← – 3 ← | |