The taxi fare in a city is as follows: For the first kilometre, the fare is 8 and for the
subsequent distance it is 5 per km. Taking the distance covered as x km and total
fare as y, write a linear equation for this information, and draw its graph.
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Step-by-step explanation:Total distance covered=x km
Fare for first km=Rs.8
Fare for the rest of the distance=Rs.5×rest of the distance
i.e.Rs.5×(x-1)
∴Total fare=Fare for first km+fare for rest (x-1) km
y=8+(x-1)5
y=8+5x-5
y=5x+3
To draw the graph you need at least two solution of the equation
Putting x=0,
y=5(0)+3
y=3
So,(0,3) is a solution of the equation
Putting x=1,
y=5(1)+3
y=5+3=8
So,(1,8) is an solution of the equation.
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