Question

Makenzie has a headache, and takes 600 mg of Tylenol. The amount,

A
, of Tylenol remaining in her body after
n
hours is given by the formula
A
=
600
(
0.86
)
n
. How much of the Tylenol remains in her body after 5 hours? Round your answer to the nearest hundredth.

Answer 1

Approximately 266.22 mg of Tylenol remains in Makenzie's body after 5 hours.

Step-by-step explanation:

The amount of Tylenol remaining in Makenzie's body after n hours is given by the formula A = 600(0.86)^n.

To find how much Tylenol remains after 5 hours, we substitute n = 5 into the formula:

A = 600(0.86)^5

A = 600(0.44370528)

A ≈ 266.22

Therefore, approximately 266.22 mg of Tylenol remains in Makenzie's body after 5 hours.