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Answer with Explanation:
Part a)
The volume of water in the tank as a function of time is plotted in the below attached figure.
The vertical intercept of the graph is 46.
Part b)
The vertical intercept represents the volume of water that is initially present in the tank before draining begins.
Part c)
To find the time required to completely drain the tank we calculate the volume of the water in the tank to zero.
![0=46-3.5t\\\\3.5=46\\\\\therefore t=\frac{46}{3.5}=13.143minutes](https://tex.z-dn.net/?f=0%3D46-3.5t%5C%5C%5C%5C3.5%3D46%5C%5C%5C%5C%5Ctherefore%20t%3D%5Cfrac%7B46%7D%7B3.5%7D%3D13.143minutes)
Part d)
The horizontal intercept represents the time it takes to empty the tank which as calculated above is 13.143 minutes.