Foundation November 2020 Paper 2R Q8
8 The following rule is used to work out the total cost, in euros, of hiring a room.
Total cost = 9 euros for each hour plus 20 euros
Paolo hires the room for 5 hours.
(a) Work out the total cost. (2)
Agathe also hires the room.
The total cost is 164 euros.
(b) For how many hours does Agathe hire the room? (3)
The total cost of hiring the room for \(n\) hours is \(T\) euros.
(c) Write down a formula for \(T\) in terms of \(n\). (2)
| Scheme | Marks |
|---|---|
| 20 + 45 or 20 + 9 × 5 | M1 |
| 65 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| 164 – 20 (= 144) | M1 |
| ‘144’ ÷ 9 (= 16) | M1 |
| 16 | A1 |
| (3) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| M1 | |
| \(T = 9n + 20\) | A1 |
| (2) | |
| (7 marks) |
Notes
M1: for \(T = an + 20\) or \(T = 9n + k\) or \(9n + 20\)
A1: for \(T = 20 + 9n\) or \(T = 9n + 20\)