Higher June 2022 Paper 1R Q2
2 In a warehouse there are two types of shelves, type R and type S.
These two types of shelves are arranged into shelving units that form a sequence of patterns.
Here are the first three terms in the sequence.
Diagram NOT accurately drawn
The width of each type R shelf is 2.4 m and the width of each type S shelf is 3.5 m
(a) Work out the total width of a shelving unit that has 6 type R shelves. (2)
A shelving unit has \(n\) type R shelves.
The total width of this shelving unit is \(W\) metres.
(b) Find an expression for \(W\) in terms of \(n\)
Give your answer in its simplest form. (2)
Give your answer in its simplest form. (2)
| Scheme | Marks |
|---|---|
| eg 6 × 2.4 + 5 × 3.5 | M1 |
| 31.9 | A1 |
| (2) |
Notes
A1: oe
| Scheme | Marks |
|---|---|
| (\(W\) =) \(5.9n\) or (\(W\) =) \(5.9(n - 1) + 2.4\) or (\(W\) =) \(2.4n + 3.5(n - 1)\) | M1 |
| \(5.9n - 3.5\) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: for \(2.4n + 3.5n\) or \(5.9n\) seen
A1: oe but must be in simplest form
eg \(-3.5 + 5.9n\)