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?

Step-by-step explanation:

Given:

Given polynomial function is.

Hours  

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

Solution:

Rewrite the given polynomial function as.

Substitute   in given polynomial function.

Therefore, the concentration of the antibiotic after 3 hours .

a = 11 : 4

b = 38

c = 1 for every 6