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A graph might be handy (a graph of cost against number of miles travelled for the two schemes?).
4. Obtain a range of solutions for this equation, confirming or otherwise, with justification explanation or proof, whether or not there is always a 'break-even point'.
A good answer to this part of the question is needed to obtain the top marks (over 21 out of 24).
One possible way of approaching this question might be to determine when there will be a break-even point and when there won't. If, for example, k is negative, but (p - q) and (r - q) are both positive, the value of m where the two schemes pay the same amount of money will be negative,
since m = k(p - q) ...
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