The taxi fare in a city is as follows : For the first kilometre, the fare is Rs.8 and for the subsequent distance it is Rs.5 per kilometre. Taking the distance covered as x km and total fare as Rs.y, write a linear equation for this information and draw its graph.

From the pair of linear equations in the foIlowing problems and find their solution by substitution method: The taxi charges in a City consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25km?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The car hire charges in a city comprise of a fixed charges together with the charges for the distance covered. For a journey of 12 km, the charge paid is rs 89 and for a journey of 20 km, the charge paid is rs 145. What will a person have to pay for travelling a distance of 30 km?

The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement. (Take the cost of a notebook to be Rs. X and that of a pen be Rs. Y).

If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per km on petrol, if he rides at a faster speed of 40 km/hr, the petrol cost increases to Rs 5 perkm. He has Rs 100 to spend on petrol and wishes to find maximum distance he can travel within one hour. Express this as a linear programming problem and then solve it graphically.

A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number. The picnic site is 55 km from the school and the transport company is charging at the rate of Rs 12 per km. The total cost of refreshments will be Rs 4280 Can you tell : If their first stop is at a place 22 km from the school, what per cent of the total distance of 55 km is this? What per cent of the distance is left to be covered?