A taxi charges Rs 60 for 3 km and Rs 105 for 6 km.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A taxi charges for and for . Assume that the fare is a straight-line function of the distance. Find the rule, and the fare for .
Need a reminder? The key ideaShow
Choose the family from the data: a straight line for equal steps, a parabola for a square law, a reciprocal for a constant product. Trust a model inside the range of its data, not far outside it.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The slope. rupees for each kilometre.
Step 2. The fixed charge. , so rupees.
Step 3. Ten kilometres. .
Answer: fare rupees; for .
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