Q. 12
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.
Answer :
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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