One City-bus charges BDT 'p' for the first half-kilometer of a trip and BDT 'p/8' for each additional half- kilometer. What is the charge for a trip whose distance in kilometers is the whole number 'q'?
A. (7p + 2pq)/8
B. 8/(7p + 2pq)
C. (8p + pq)/8
D. Cannot be determined
Explanation: After first half km , each half km costs \(p/8\). Now, for \(1/2\) km the cost is \(p/8\) so, for 1 km the cost is \((p/8)/(1/2)=p/4\). so, for \(\{q-(1/2)\}\) km the cost is \((p/4)*\{q-(1/2)\}=(2pq-p)/8\). So total cost is \((2pq-p)/8+p=(2pq+7p)/8\)
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