A three-wheeler scooter charges Rs. 15 for first kilometer and Rs. 8 each for every subsequent kilometer. For a distance of $x\ km$, an amount of Rs. $y$ is paid. Write the linear equation representing the above information.
Given:
A three-wheeler scooter charges Rs. 15 for first kilometer and Rs. 8 each for every subsequent kilometre. For a distance of $x\ km$, an amount of Rs. $y$ is paid.
To do:
We have to write the linear equation representing the above information.
Solution:
Let the total distance covered be $x\ km$.
Fare for the first kilometer $=1\times 15=Rs.\ 15$
Fare for the subsequent distance$=Rs.\ ( x-1)\times8$
According to the question,
$15+( x-1)8=y$
$\Rightarrow 15+8x-8=y$
$\Rightarrow 8x-y+7=0$
The linear equation representing the given information is $8x-y+7=0$.
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