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.
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
Relationship passes through (14, 980) and (16, 1220).
How many liters could he sell weekly at Rs. 17 per liter.
So, the equation of the line passing through these points is
⇒ 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.
Rate this question :
The equation of the straight line which passes through the point (-4, 3) such that the portion of the line between the axes is divided internally by the point in the ratio 5 : 3 isRD Sharma - Mathematics
Find the equations of the diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1.RD Sharma - Mathematics
Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2x + 3y = 6 which is intercepted between the axes.RD Sharma - Mathematics
Find the equation of the line passing through the point ( – 3, 5) and perpendicular to the line joining (2, 5) and ( – 3, 6).RD Sharma - Mathematics
Find the equation of the line passing through the point (2, 2) and cutting off intercepts on the axes whose sum is 9RD Sharma - Mathematics
Find the equation of the right bisector of the line segment joining the points (3, 4) and ( – 1, 2).RD Sharma - Mathematics
Find the equations to the altitudes of the triangle whose angular points are A (2, – 2), B(1, 1), and C ( – 1, 0).RD Sharma - Mathematics
Find the equation of the straight line passing through the origin and bisecting the portion of the line ax + by + c = 0 intercepted between the coordinate axes.RD Sharma - Mathematics