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.
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 + 5 x �5 (Total fare is given to be y)
y = 5 x + 3
5 x � y + 3 = 0
This is the required linear equation.