Question
Sun March 04, 2012 By:

The taxi fare in a city is as follows: For the first kilometre, the fares is Rs.8 and for the subsequent distance it is Rs.5 per km. Taking the distance covered as x km and total fare as Rs. y, write a linear equation for this information.

Expert Reply
Sun March 04, 2012

          Total distance covered = x km. (Given)

          Fair for 1st kilometre = Rs.8 (Given)

          Fair for rest distance = (x – 1) 5 (Since, it is given that except for first kilometre, the fare for subsequent distance is Rs 5 per km)

                Total fair = 8 + (x – 1) 5

          y = 8 + 5x –5 (Total fare is given to be y)

          y = 5x + 3

          5x – y + 3 = 0 
This is the required linear equation.
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