The linear expression representing the volume of water in the tub is [tex]W=0.833t[/tex] and the volume of water after 3.5 minutes will be [tex]2.916\rm\; ft^3[/tex].
Given information:
At time t=3, there are 2.5 cubic feet of water in the tub.
Let the time be in minutes.
So, the rate of flowing the water in the tub will be,
[tex]r=\dfrac{2.5\rm\; ft^3}{3\; \rm min}\\r=0.833 \rm\; ft^3/min[/tex]
So, the expression for volume of water W in the tub will be,
[tex]W=rt\\W=0.833\times t[/tex]
Above is the expression for water in the tub at t minutes.
Now, the water in the tub after 3.5 minutes will be,
[tex]W=0.833\times t\\W(3.5)=0.833\times 3.5\\W=2.916\rm\; ft^3[/tex]
Therefore, the linear expression representing the volume of water in the tub is [tex]W=0.833t[/tex] and the volume of water after 3.5 minutes will be [tex]2.916\rm\; ft^3[/tex].
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https://brainly.com/question/23113065
