To find the exponential change, we need to notice first that at time t=0 we have 200 mg, and it seems taht after two hours it drops to 75 mg. Then, the function is
[tex]\begin{gathered} f(x)=200r^x \\ f(2)=75=200r^2 \\ r^2=\frac{75}{200} \\ r=\sqrt[]{\frac{75}{200}} \\ r=\frac{\sqrt[]{6}}{4} \end{gathered}[/tex]
Then, the function is
[tex]f(x)=200(\frac{\sqrt[]{6}}{4})^x[/tex]
The exponential change is, then
[tex]\frac{\sqrt[]{6}}{4}=0.61[/tex]
and, in percent, it is 61%
