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

In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? The cost of digging a well after every metre of digging, when it costs Rs. 150 for the first metre and rises Rs.50 for each subsquent metre.

In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? The amount of air present in a cylinder when a vacuum pump removes (1)/(4) of the air remaining in the cylinder at a time.

In which of the following situations, does the list of numbers involved make arithmetic progression, and why ? The amount of money in the account every year, when Rs.10,000 is deposited at compound interest at 8% per annum.

From the pair of linear equations for the following problems and find their solutions 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 10km the charge paid is Rs 105 and for a journey of 15km, the charge paid is Rs 155. What are the fixed charge 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 for the following problems and find their solution by substitution method. The taxi charge 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 25 km ?

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 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.

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?