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.

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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