Question

The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the polynomial function C(h) = −0.09h2 + 3.5h + 8. What is the concentration of the antibiotic after 3 hours in parts per million to the nearest hundredths?

Answer 1

Answer:

$C(3)=17.69\ ppm$

Step-by-step explanation:

Given:

Given polynomial function is.

$C(h)=-0.09h^{2} +3.5h+8$

Hours  $h=3$

We need to find the concentration of the antibiotic after 3 hours.

Solution:

Rewrite the given polynomial function as.

$C(h)=-0.09h^{2} +3.5h+8$

Substitute  $h=3$ in given polynomial function.

$C(3)=-0.09(3)^{2} +3.5\times 3+8$

$C(3)=-0.09\times 9+10.5+8$

$C(3)=-0.81+10.5+8$

$C(3)=-0.81+18.5$

$C(3)=17.69\ ppm$

Therefore, the concentration of the antibiotic after 3 hours $C(3)=17.69\ ppm$ .