The owner of a milk store finds that he can sell 980 liters milk each week at Rs. 14 per liter and 1220 liters of milk each week at Rs. 16 per liter. Assuming a linear relationship between selling price and demand, how many liters could he sell weekly at Rs. 17 per liter.

Assuming:

x denotes the price per liter, and y denote the quality of the milk sold at this price.


Since there is a linear relationship between the price and the quality, the line representing this


Given:


Relationship passes through (14, 980) and (16, 1220).


To find:


How many liters could he sell weekly at Rs. 17 per liter.


Explanation:


So, the equation of the line passing through these points is


Formula used:



y – 980 = 120(x - 14)


120 x - y -700 = 0


When x = 17 then we have,


120(17) – y – 700 = 0


y = 1340


Hence, the owner of the milk store can shell 1340 litres of milk at Rs. 17 per litre.


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