Question:
The taxi fare in a city is as follows: For the first kilometre, the fare is Rs 8 and for the subsequenct distance it is Rs 5 per km. Taking the distance covered as x km and total fare as Rs y, write the linear equation for this equation, draw its graph.
Answer:
For first kilometre, fare = Rs 8
For subsequent distance, fare per kilometre = Rs 5
Total distance covered = x km
For first kilometre, fare is Rs 8 and for next (x - 1) km fare is Rs 5 per km.
Total fare = 8 + 5(x - 1)
y = 8 + 5x - 5
y = 5x + 3
y = 5x + 3 is the required linear equation.
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