Question

The auto rickshaw fare in a city is charged rupees 10 for the first kilometre and at the rate of Rs 4 per kilometre for subsequent distance covered. write the linear equation to express the above statement draw the graph of the linear equation.

Answer 1

here is the answer

Let the total distance covered be x km

and, the total fare be Rs. y

Since, Total fare = fare for the first kilometer + fare for the remaining kilometer of distance ...........................(1)

We know that the fare for first kilometer is Rs. 10

Fare for the remaining kilometers i.e. (x - 1)

= 4(x - 1)

Put values in (1)

⇒ y = 10(1) + 4(x - 1)

⇒ y = 10 + 4x - 4

⇒ y = 4x + 6

When x = 0, we have, y = 4 × (0) + 6, So, y = 6

When x = - 1, we have, y = 4 × (- 1) + 6, = - 4 + 6

So, y = 2

When x = - 2, we have, y = 4 × (- 2) + 6 = - 8 + 6

So, y = - 2

x = 0 ; y = 6

x = - 1 ; y = 2

x = - 2 ; y = - 2

Now, you can draw the graph easily using the points I have given.

Now mark it as the brainliest answer