Question

The taxi fare in a city is as follows: For the first kilometer, the

fare is Rs 9 and for the subsequent distance, it is Rs 6 per km.
Taking the distance covered as x km and total fare as Rs y, write
a linear equation for this information, and draw its graph.

Answer 1

The linear equation is y = 6 x + 9

The graph is attached down

Explanation:

The given information:

The cost of 1st km is 9 Rs

The cost of every kilometer after the first is 6 Rs

x represents the number of km

y represents the total cost of x km

The form of the linear equation is

y = m x + b, where

• m is the slope of the line (rate of change)
• b is the y-intercept (initial value)

From the given information above

m = 6 Rs/km

b = 9 Rs

Substitute them in the form of the equation

y = 6 x + 9

The graph: