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Ncert Solutions Maths class 11th Maths Class 11th Straight Lines

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

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alok kumar singh | Contributor-Level 10

4 months ago

31.

Assuming the price per litre say P in x-axis and the corresponding demand say D in y-axis, we have two point (14, 980) and (16, 1220) in xy plane. Then the points (P, D) will satisfy the equation.

$\RightarrowD - 980 = \frac{1220 - 980}{16 - 14} (P - 14)$

$\RightarrowD - 980 = \frac{240}{2} (P - 14)$

$\RightarrowD - 120 (P - 14) + 980$

$\RightarrowD - 12 0P - 1680 + 980$

$\RightarrowD = 12 0P - 700$

Which is the required relation

Where P = 17, we have

D = 120 × 17 – 700

D = 1340

Hence, the owner can sell 1340 litres of milk weekly at 17/litre

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

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