Question

The taxi fare in a city is as follows: For the first kilometre, the fare is Rs.30 and for the subsequent distance it is Rs.25 per kilometre. Taking the distance covered as x kilometre and total fare as Rs. Y , write a linear equation for this information and draw its graph.

Answer 1

Given,Total distance covered= x km=1+(x-1)km

Fare For first kilometre= ₹8

Fare for subsequent distance= ₹5 per km



Fare for next(x-1)km= 5(x-1)



A.T.Q



Total fare= y

8+5(x-1)=y

8+5x-5=y

5x-y+3=0

Which is the required linear equation.



It can also be written as y= 5x+3

When X = 0 ,then Y = 3,When x=1, then y= 5+3=8

When x= 2, then y= 10+3=13



[Table & graph are on the attachment]



Now plot the points A(0,3), B(1,8), C( 2,13) on the graph paper and join them to form a line BC, which represents the required graph of linear equation.

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Hope this will help you
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