Foundation June 2022 Paper 2R Q17
17 Molly uses this number machine to work out the amount of tax that she has to pay on the money she earns.

When Molly works \(n\) hours the amount of tax she has to pay is £\(T\)
Find a formula for \(T\) in terms of \(n\)
(3)
| Scheme | Marks |
|---|---|
| \(T = 0.2(12n + 50)\) oe | B3 |
| (3) | |
| (3 marks) |
Notes
B3: for \(T = 0.2(12n + 50)\) oe
or \(T = 0.2 \times (12n + 50)\) oe
or \(T = 0.2 \times (12 \times n + 50)\) oe
or \(T = \dfrac{12n + 50}{5}\) oe
or \(T = 2.4n + 10\) oe
B2 for \(0.2(12n + 50)\) oe
or \(0.2 \times 12n + 50\) oe
or \(T = 0.2 \times 12n + 50\) oe
or \(T = n \times 12 + 50 \times 0.2\) oe
or \(T = 12n + 50 \div 5\) oe
or \(T = n(12) + 50(0.2)\) oe
B1 for \(n \times 12 + 50 \times 0.2\) oe
or \(12n + 50 \div 5\) oe
or \(n(12) + 50(0.2)\) oe
or \(T =\) a linear expression in \(n\) e.g. \(T = n\)