Question

The auto fares in a city are as follows:
For the first kilometer, the fare is $Rs.8$ and foe subsequent distance it is $Rs.3.5$ per $km$. Taking the distance covered as $xkm$ and total fare $Rs.y$, write a linear equation for the information.

Answer 1

write linear equation.

total distance covered = x

total fare = y

since, total fare = fare for $1^{st}$

km + fare for remaining km y distance _ (1)

for first in km is 8 Rs.

for remaining km (x-1)

= 5 (x-1) __ (2)

put value in equation (i)

$y=8+5(x-1)$

$y=8+5x-5$

$y=5x+3$ Ans