NCERT Class 9 Solutions: Linear Equation in Two Variable (Chapter 4) Exercise 4.3 – Part-3

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Q-4 The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and for the subsequent distance it is Rs. 5 per kilometer. Taking the distance covered as x km and total fares as Rs. y, write a linear equation for this information, and draw its graph.



Taxi fare for subsequent distance Rs. 5


  • Total distance covered

  • Total fare

According to problem,

  • Taxi fare for first kilometer Rs. 8

  • If the total distance is x, fare for rest of the kilometer ( at the rate of Rs. 5 per km)

  • Since the fare for first kilometer = Rs. 8, so, the total fare

Hence, is the required linear equation

Drawing the Graph

We can draw the graph by finding two points on this equation and drawing a line joining those points.

The equation is

…………….equation (1)

Now, putting the value in equation (1)

So the solution is this is first point (the y intercept)

Putting the valuein equation (1)

. So the solution is this is the second point

Graph for Equation Y = 5x + 3