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

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, writes a linear equation for this
information

Ayush Jha · Accepted Answer

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
â€“ 1) km

Rate of fare = Rs 5 per km

Fare for (x â€“ 1) km = 5 Ã— (x
â€“1)

Total fare = Rs y

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

8 + (x â€“ 1) 5 = y

8 + 5x â€“ 5 = y

5x â€“ y + 3 = 0

The taxi fare in a city is as follows: For the first kilometer, the fare is Rs. 8 and forthe subsequent distance it is Rs. 5 per km. Taking the distance covered as x kmand total fare as Rs. y, writes a linear equation for this information

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