Q4 of 19 Page 278

The cost of the milk per liter is 15. Draw the graph for the relation between the quantity and cost. Hence find

(i) the proportionality constant.


(ii) the cost of 3 litres of milk.

(i) k = 15 (ii) ₹45


Let the cost of milk be Y and X be the quantity of milk in liter. As it’s given that cost per one liter is 15rs so increase in quantity will increase the cost of milk. So it’s a direct proportion


Mathematically,


Y = KX


Where K is the constant of proportionality


So we can draw a table



so from the graph it’s clear that y = kx = 15x


Proportionality, k = 15


We can draw a graph using the table given



To find the cost of 3 liter milk we have to draw a line parallel to Y-axis at X = 3 then from the intersection point of that parallel line and the curve draw another line parallel to X-axis so the point of intersection of that line and Y-axis will give the cost of 3 liter of milk.


From the graph its clear that cost of 3 liter is 45 RS.


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