The taxi fare in a city is as follows: For the first kilometre, the fares is Rs 8 and for - Maths - Linear Equations in Two Variables

Question

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, and draw its graph

Gopal Mohanty · Accepted Answer

Total distance covered = x km Fare for 1st kilometre = Rs 8 Fare for the rest of the distance = Rs (x − 1) 5 Total fare = Rs [8 + (x − 1) 5] y = 8 + 5x − 5 y = 5x + 3 5x − y + 3 = 0 It can be observed that point (0, 3) and

satisfies the above equation Therefore, these are the solutions of this equation x 0

y 3 0 The graph of this equation is constructed as follows

Here, it can be seen that variable x and y are representing the distance covered and the fare paid for that distance respectively and these quantities may not be negative Hence, only those values of x and y which are lying in the 1st quadrant will be considered

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, and draw its graph.