Question

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 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 1

Let the distance travelled be x km.

Let the total distance be y km.

For the first kilometre, the fare is Rs. 8 + fare for remaining distance, i.e. (x – 1) km.

Rs. 5 for 1 km.

if it travels (x – 1) km … ?

Rs. (x – 1)5

∴ Total cost = Rs. y

Fare for first km + fare for subsequent distance means (x-1) km = Rs. y

8 + (x – 1)5 = y

8 + 5x – 5 = y

8 – 5 + 5x = y

3 + 5x = y

∴ y = 3 + 5x linear equation.