Question 1146036
<br>
The statement of the problem is incorrect.<br>
The difference between the two functions showing how fast water is being pumped in and how fast it is leaking out only tell you how the volume is changing as a function of time; it does NOT give you the volume as a function of time.<br>
So the function showing how the volume of water is changing ("C(t)") is<br>
{{{C(t) = P(t)-L(t) = (112t +2000)-(15t^2) = -15t^2+112t+2000}}}<br>
Then the VOLUME function V(t) is the initial volume V(0) plus C(t).<br>
ANSWER:
The volume function is<br>
{{{V(t) = V(0)-15t^2+112t+2000}}}