For a taxi service, the total fare y (in rupees) for travelling x kilometres is modelled by the linear relation 7x+5y−350=0.
(a) Part 1: (i) Rewrite the relation in the form y=mx+c and hence find the cost per kilometre as well as the fixed booking charge.
(b) Part 2: (ii) Find the maximum distance that can be travelled for a fare of ₹100.
(c) Part 3: (iii) Determine the point where the fare becomes zero and interpret its meaning in the given context.