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CBSE Class 9 Answered

A taxi charges Rs.8 for the first km and Rs.5 per km for subsequent distance covered. Taking the distance covered as x km and total fare Rs.y, write a linear equation depicting the relation in x and y. Draw the graph between x and y and find taxi charges for covering 4 km.
Asked by mkmishra101 | 09 Mar, 2016, 02:33: PM
answered-by-expert Expert Answer

Let x axis represent the distance in kilometer and y axis represent the fare in rupees

As per the given information, the required linear equation will be,

y = 8 + 5(x – 1)

∴ y = 8 + 5x – 5

∴ y =  5x + 3

This equation can be represented by a graph.

 

x

0

1

2

   y =  5x + 3

3

8

13

 
 
As can be observed from the graph, the taxi charges for covering 4 km. is at the point D(4, 22) hence, it is Rs.22

Answered by Priti Shah | 09 Mar, 2016, 07:02: PM

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