Question

the expression -25t + 1250 represents the volume of liquid of a container after t seconds. the expression 50t + 250 represents the volume of liquid of another container after t seconds. what does the equation -25 + 1250= 50t +250 mean in this situation?

Answer 1

The volume of liquid (V1) in first container at any time 't' is given as,

`V_1=-25t+1250`

The volume of liquid (V2) in other container at any time 't' is given as,

`V_2=50t+250`

Consider the equation,

`\begin{gathered} -25+1250=50t+250 \\ V_1=V_2 \end{gathered}`

Thus, the given equation represents the situation when the volume in both the containers are equal.