The auto fare in a city is as follows : For the first kilometre , the fare is ₹ 20 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 also find the total fare for 20 km.
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Step-by-step explanation:
Auto fare for first km:- Rs. 20
Auto fare for subsequent distance:- Rs. 5
Let the distance covered be:- x km
Let the total fare be:- Rs. y
A.T.Q
y= 20+ 5 (x-1)
y= 20+ 5x -5
y= 15+ 5x
Therefore, linear equation for this information is y= 15 + 5x.
Fare for 20 km:-
y= 15 + 5x
y= 15 + (5×20)
y= 15 + 100
y= Rs. 115
Therefore, total fare for 20 km is Rs. 115.
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