Question

Please help me solve this as I have no idea how to do it :(

Answer 1

Given: The function below

$C(t)=\frac{3t}{0.08t^2+5.2}$

To Determine: The concentration since 25 minutes

Solution

$\begin{gathered} t=25 \\ C(t)=\frac{3(25)}{0.08(25)^2+5.2} \end{gathered}$$\begin{gathered} C(t)=\frac{75}{0.08(625)+5.2} \\ C(t)=\frac{75}{50+5.2} \\ C(t)=\frac{75}{55.2} \\ C(t)=1.3587\times microgram-per-milliliter \end{gathered}$

Please note that

$1microgram=0.001milligrams$

Therefore, we would convert our answer to milligrams

$C(t)=\frac{1.3587}{1000}milligram-per-millilitter$$C(t)=0.0013587milligram-per-milliliter$

Hence, the concentration is 0.0014 milligram per milliliter