Question 256876
We start with the equation:
{{{P=200+5t-t^2}}}
P = 176, so we get
{{{176 = 200 + 5t - t^2}}}
So, we get
{{{t^2 - 5t -24 = 0}}}
factoring, we get
{{{(t-8)(t+3)=0}}}
solving for t, we get
t = 8; t = -3.
Since time is not negative, we get
 t = 8 days