(a)[1]
The total length of fencing needed for the garden is $y$ metres. Show that $y = 2x + \dfrac{18}{x}$.
(b(i))[2]
Complete the table shown for $y = 2x + \dfrac{18}{x}$.
(b(ii))[3]
On the grid, draw an accurate graph of $y = 2x + \dfrac{18}{x}$ for $1 \le x \le 9$.
(c)[2]
Use your graph to find the two possible widths of the garden when $14$ metres of fencing are used.
(d(i))[2]
The fencing costs $\$20$ per metre. Find the least amount it will cost Zara to build the fence.
(d(ii))[2]
Zara wishes to spend no more than $\$350$ on the fence. Find the greatest width of garden that Zara can make.