Question

The auto-rickshaw fare in a city is charged as ₹10 for the first kilometre and at the rate of ₹4 per km for subsequent distance covered. Write a linear equation in two variables to express the above statement.​

Answer 1

Let the total distance be x km

and total cost be y

now, 10rs for 1st km, and 4Rs. per km for rest

so,

y=1(10)+4(x-1)

y=4x+6,

sub,

x=-2,y=-2

x=-1, y=2

so plot points (-2,-2),(-1,2)

scale : 1cm = 1 unit on both axis