The auto fare in a city is as follows -

For the first 4 km the fare is rs30 and for the subsequent distance it is rs5 per km. Taking the distance covered as x km and total fare as rs y. write a linear equation for this information and draw the graph.

**Given:** the total distance covered = *x* km

The total fare = Rs* y*

Fare for first 4 km = Rs 30

Fare for distance greater than 4 km = 5 Rs/ km

Now remaining distance = (*x* – 4) km

∴ fare for remaining distance = 5 (*x *– 4) Rs

Total fare = Fare for first 4 km + fare for remaining distance

*y* = 30 + 5(*x *– 4)

*y* = 30 + 5*x* – 20

⇒ *y* = 5*x* + 10

⇒ 5*x – y* = – 10

x | – 2 | 0 | 1 |

y | 0 | 10 | 15 |

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