In a warehouse there are two types of shelves, type $$\(\mathbf{R}\)$$ and type $$\(\mathbf{S}\)$$. These two types of shelves are arranged into shelving units that form a sequence of patterns. Here are the first three terms in the sequence. Diagram NOT accurately drawn The width of each type $$\(\mathbf{R}\)$$ shelf is $$\(2.4 \mathrm{~m}\)$$ and the width of each type $$\(\mathbf{S}\)$$ shelf is $$\(3.5 \mathrm{~m}\)$$ (a) Work out the total width of a shelving unit that has 6 type $$\(\mathbf{R}\)$$ shelves. $$\(\mathrm{m}\)$$ (2) A shelving unit has $$\(n\)$$ type $$\(\mathbf{R}\)$$ shelves. The total width of this shelving unit is $$\(W\)$$ metres. (b) Find an expression for $$\(W\)$$ in terms of $$\(n\)$$ Give your answer in its simplest form. $$\[ W= \]$$ (2)

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