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

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. Write the linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is 55? How much would have to be paid for 7 kilometers?

Form the pair of linear equations for the 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 pair 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 25 km?

A lending library has fixed charge for the first three days and an additional charges for each day thereafter. John paid 27 for a book kept for seven days. If the fixed charges be x and subsequent per day charges be y, then write the linear equation representing the above information and draw the graph of the same. From the graph, find fixed charges for the first three if additional charges for each day thereafter is 4. Find additional charges for each day thereafter if the fixed charges for the first three days of 7.

In which of the following situations, does the list of numbers involved make an arithmetic progression , and why ? The taxi fare after each km, when the fare is Rs 15 for the first km and Rs 8 for each additional km.

The cost of 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 to be Rs y)

A man rides his motorcycle at the speed of 50 km/hour. He has to spend Rs. 2 per km on petrol. If he rides it at a faster speed of 80 km/hour, the petrol cost increases to Rs. 3 per km. He has atmost Rs. 120 to spend on petrol and one hour's time. He wishes to find the maximum distance that he can travel. Express this problem as a linear programming problem.

In which of the following situations, does the list of numbers involved form an arithmetic progression, and why? The minimum taxi fare is additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes of the air remaining in the cylinder at a time. (iii) The cost of digging a well, after every metre of digging, when it costs 150 for the first metre and rises by 50 for each subsequent metre. (iv) The amount of money in the account every year, when 10000 is deposited at compound interest at 8 % per annum.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by the elimination method: A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method: A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges while student B takes food for 26 days, pays Rs. 1180 as hostel charges. Find the fixed charges and the cost of food per day.

From a bus stand in Bengaluru, if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs. 46, but if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwantpur the total cost is Rs. 74. Find the fares from the bus stand to Malleswaram, and to Yeshwanthpur.