The volume (in litres) of water remaining in a storage tank after minutes is given by .

MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Equations in Two Variables · Linear Equations in Two Variables

Problem

The volume V(x)V(x) (in litres) of water remaining in a storage tank after xx minutes is given by V(x)=120−7.5xV(x)=120 - 7.5x. (i) Find the time (in minutes) at which the tank becomes empty. (ii) Interpret the zero obtained in part (i) in the context of this situation. (iii) Using the points corresponding to x=0x = 0, x=8x = 8, and the zero found in part (i), draw the graph of y=V(x)y = V(x) and label the point that represents the empty tank.

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