Answer:
[tex]C(3)=17.69\ ppm[/tex]
Step-by-step explanation:
Given:
Given polynomial function is.
[tex]C(h)=-0.09h^{2} +3.5h+8[/tex]
Hours  [tex]h=3[/tex]
We need to find the concentration of the antibiotic after 3 hours.
Solution:
Rewrite the given polynomial function as.
[tex]C(h)=-0.09h^{2} +3.5h+8[/tex]
Substitute  [tex]h=3[/tex] in given polynomial function.
[tex]C(3)=-0.09(3)^{2} +3.5\times 3+8[/tex]
[tex]C(3)=-0.09\times 9+10.5+8[/tex]
[tex]C(3)=-0.81+10.5+8[/tex]
[tex]C(3)=-0.81+18.5[/tex]
[tex]C(3)=17.69\ ppm[/tex]
Therefore, the concentration of the antibiotic after 3 hours [tex]C(3)=17.69\ ppm[/tex] .
