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The taxi fare in a city is as follows: For the first kilometre

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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 Rs. $y$ , write a linear equation for this information and draw its graph.

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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 Rs.

y

, write a linear equation for this information and draw its graph.

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Text solutionVerified

$x$	$0$	$1$	$2$
$y$	$3$	$8$	$13$

Taxi fare for first kilometer

=

Rs.

8

Taxi fare for subsequent distance

=

Rs.

5

Total distance covered

= x

Total fare

= y

Since the fare for first kilometer

=

Rs.

8

According to problem,

Fare for

(x -1)

kilometer

=

5 (x - 1)

So, the total fare

y = 5 (x - 1) + 8

\Rightarrow y = 5 (x - 1) + 8

\Rightarrow y = 5 x -5 + 8

\Rightarrow y = 5 x + 3

He n ce

y = 5 x + 3

is the required linear equation.

Now the equation is

y = 5 x + 3

...(1)

Now, putting the value

x = 0

in (1)

y = 5 \times 0 + 3

y = 0 + 3 = 3

So the solution is

(0, 3)

Putting the value

x = 1

in (1)

y = 5 \times 1 + 3

y = 5 + 3 = 8

. So the solution is

(1, 8)

Putting the value

x = 2

in (1)

y = 5 \times 2 + 3

y = 10 + 3 = 13

. So the solution is

(2, 13)

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Question Text	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 Rs. $y$ , write a linear equation for this information and draw its graph.
Answer Type	Text solution:1
Upvotes	150

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 Rs.y, write a linear equation for this information and draw its graph.

Text solutionVerified

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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 Rs. $y$ , write a linear equation for this information and draw its graph.