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Sheila is taking medicine to help fight an infection. The function f(x) = 12(0. 82)^x models the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

About how many mg are left in her bloodstream after 2 hours?

User Fonduman
by
7.2k points

2 Answers

4 votes

Answer:

8.07

Explanation:

...

User Bekir
by
8.5k points
2 votes

Given:


f(x)=12(0.82)^x

where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.

To find:

The remaining mg in her bloodstream after 2 hours.

Solution:

The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function


f(x)=12(0.82)^x

Putting x=2, we get the remaining mg in her bloodstream after 2 hours.


f(2)=12(0.82)^2


f(2)=12(0.6724)


f(2)=8.0688

Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.

User Antonagestam
by
8.3k points
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