Question

A taxi charges Rs 20/- for the first km and RS 12/. per km for subsequent
distance covered. Taking distance covered as x km and total fare Rs y.
write a linear equation depicting the relation in x and y
Draw the graph between x and y.
from graph find the taxi charges for covering 16km​

Answer 1

Step-by-step explanation:

every subsequent km.

So It is also given that, Distance covered is x and Total Fare is Rs. y

Linear Equation according to the question would be:

Total Distance = x

Rate for first km is 12. So Rate for remaining distance is ?

⇒ Remaining Distance = ( x - 1 )

⇒ Rate = 12 ( x - 1) = 12x - 12

Total Fare for the whole distance is Rs. y

⇒ y = 12x -12 + 20

⇒ y = 12x + 8

This is the required equation.

Hope it helped !!