Answer :

Given that, An auto charges ₹ 15 for first kilometer and ₹ 8 each for each subsequent kilometer. For a distance of ‘x’ km. an amount of ₹ ‘y’ is paid.

⇒ the extra charge for first kilometer apart from 8-

= 15-8 = Rs.7

⇒ y = 8x + 7 is the linear equation.

For graph, we’ll first make the table of solutions by putting some random values of x and thereafter we’ll find corresponding values of y and then we’ll plot these points on graph, join them and extend them in straight line to find the graph.

(Note: ∵ equation is linear graph will always be straight line.)

Table of solutions for the given equation-

GRAPH:

Now, from the graph, distance travelled if the fare paid is Rs.55

is 6 km (pt. E)

And the money to be paid for 7 kilometers is Rs. 63. (pt. F)

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