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 -0.06h² + 2h + 4 = a(h). What is the concentration of the antibiotic after 4 hours?

1) 3.04 parts per million
2) 9.34 parts per million
3) 11.04 parts per million
4) 11.75 parts per million
5) 12.24 parts per million

Answer 1

The concentration of the antibiotic in the bloodstream after 4 hours, using the model a(h) = -0.06h² + 2h + 4, is 11.04 parts per million.

Step-by-step explanation:

To determine the concentration of the antibiotic after 4 hours, we can use the given polynomial a(h) = -0.06h² + 2h + 4. Plugging in h = 4 into the polynomial, we get:

a(4) = -0.06(4)² + 2(4) + 4

a(4) = -0.06(16) + 8 + 4

a(4) = -0.96 + 8 + 4

a(4) = 7.04 + 4

a(4) = 11.04 parts per million

Therefore, the concentration of the antibiotic after 4 hours is 11.04 parts per million.