Question 1165685
.


The problem explains you in all details that the net inflow is the difference of the inflow and outflow

(the fact which is OBVIOUS even without explanations).



<pre>
    Therefore, all you need is to subtract the function describing outflow from the function describing inflow


        V(t) = P(T) - L(t) = 112t + 200 - 15t^2   gallons,


    or, which is the same, but ordered differently,


        V(t) = -15t^2 + 112t + 200   gallons.
</pre>


Solved and explained in all details.