Respuesta :
Answer:
Clara's body eliminated the antibiotic at the same rate as Heidi's body.
Answer:
Option. B is the answer.
Step-by-step explanation:
Clara is taking a medicine for a common cold. Table that shows the amount f(t) that was present in Clara's body after time t is
t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41
Now we will find the explicit formula of geometric sequence.
f(1) = 236.5
and f(2) = 223.73
Therefore, common ratio of the sequence = [tex]\frac{f(2)}{f(1)}=\frac{223.73}{236.5}[/tex]=0.946
So the equation will be f(t) = [tex]236.5(0.946)^{t}[/tex]------(1)
At the same time Heidi was administered 300 mg of same medicine of the same sample.
Amount of medicine in her body f(t) after time t is shown by the equation
f(t) = [tex]300(0.946)^{t}[/tex]----(2)
By comparing these equations 1 and 2, we find common ratio is same as (0.946), which reflects the rate of elimination of the antibiotic was same for both Clara and Heidi.
Option B is correct.