Question

The taxi fare in a city is as follows : For the first kilometre, the fare is Rs.8 and for the subsequent distance it is Rs.5 per kilometre. Taking the distance covered as $x$ km and total fare as Rs.$y$, a linear equation for this information is _____.

• A. $5x+y+3=0$
• B. $5x-y+3=0$
• C. $5x+y-3=0$
• D. $5x-y-3=0$

Answer 1

The correct option is B $5x-y+3=0$

It is given that, If $x=1\Rightarrow y=8rs$.

Now, for the subsequent distance, it is Rs.5 per kilometer.

So, we can say If $x=2\Rightarrow y=8+5\left(1\right)$

Similarly, If $x=3\Rightarrow y=8+5\left(2\right)$

Now for the $x$ distance, fare is $y=8+5(x-1)\Rightarrow 5x-y+3=0$