NCERT Class 9 Solutions: Linear Equation in Two Variable (Chapter 4) Exercise 4.3 – Part3
Q4 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.
Solution:
Given,
Taxi fare for subsequent distance Rs. 5
Let,

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