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, writes a linear equation for this information

Here is the complete explanation to the mentioned question.

Fare for the first km = Rs 8

Total distance covered = x km

After travelling first km, remaining distance = (x – 1) km

Rate of fare = Rs 5 per km

Fare for (x – 1) km = 5 × (x –1)

Total fare = Rs y

Fare for the first km + fare for the remaining distance = y

8 + (x – 1) 5 = y

8 + 5x – 5 = y

**5x – y + 3 = 0**

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