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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.



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 + (− 1) 5]

= 8 + 5x −5

= 5x + 3

5x − + 3 = 0

It can be observed that point (0, 3) and 

satisfies the above equation. Therefore, these are the solutions ofthis 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 arerepresenting the distance covered and the fare paid for that distancerespectively and these quantities may not be negative. Hence, only those valuesof x and y which are lying in the 1st quadrantwill be considered.

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