Question

PLEASE HELP!!!! I"VE BEEN STUCK ON THIS QUESTION FOR FOREVER!!!!!

Henry is taking a medicine for a common cold. His body metabolizes the medicine over a certain time interval. The table below shows the amount of medicine f(t), in mg, that was present in Henry's body after time t:

t (hours) 1 2 3 4 5
f(t) (mg) 282 265.08 249.18 234.22 220.17

Greg was administered 300 mg of the same medicine. The amount of medicine in his body f(t) after time t is shown by the equation below:

f(t) = 200(0.88)^t

Answer 1

Which statement best describes the rate at which Henry’s and Greg's bodies eliminated the medicine?
Henry's body eliminated the antibiotic faster than Greg's body.

Henry's body eliminated the antibiotic at the same rate as Greg's body.

Henry's body eliminated the antibiotic at half of the rate at which Greg's body eliminated the antibiotic.

Henry's body eliminated the antibiotic at one-fourth of the rate at which Greg's body eliminated the antibiotic.

Answer 2

Substitute 1, 2, 3, 4, 5 into the equation given for Henry and make a table with f(t) values to select the best answer.

Answer 3

I got:
1 2 3 4 5
176 154.88 136.2944 119.939072 105.54638336

Answer 4

@AmTran_Bus

Answer 5

Ok, so lets look at our choices. Assuming Henry was also given 300mg, you know it is not choice A.

Answer 6

so is it C?

Answer 7

Is half of 282 176?

Answer 8

no

Answer 9

282/2 is 1.60227272727

Answer 10

D

Answer 11

but 282/4 is 70.5

Answer 12

Did Henry get 300mg?

Answer 13

yes, I think so

Answer 14

Well, the only logical choice, now that I think of it, is A. Henry's body is just faster.