Clara is taking a medicine for a common cold. Her 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 Clara's body after time t.

t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41

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

(t) = 300(0.946)t

Question

04-11-2016
Mathematics

contestada

Clara is taking a medicine for a common cold. Her 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 Clara's body after time t.

t (hours) 1 2 3 4 5
f(t) (mg) 236.5 223.73 211.65 200.22 189.41

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

(t) = 300(0.946)t

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Edufirst Edufirst · Answer 1 · 2016-11-05T19:56:01+01:00

1) Let's write the data of Clara's table just to have them ready to compare

t (hours) 1    2    3    4    5
f(t) (mg)    236.5 223.73 211.65 200.22       189.41
Change(mg)   - -12.77    -12.05 -11.43 -10.81

2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:

t (hours)    1    2    3    4    5
f(t) (mg)    283.8 268.48    253.98     240.26 227.29
Change (mg)          -15.12 -14.5    -13.72 -12.97

Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.

mickymike92 mickymike92 · Answer 2 · 2022-07-07T12:36:25+02:00

The rate of elimination of the drug in Heidi is greater than the rate of elimination in Clara.

What is the rate of change of drug concentration?

The rate of change of drug concentration is the rate at which a drug is eliminated from the body.

The table below shows the change in concentration of the drug in Clara:

t (hours) 1 2 3 4 5

f(t) (mg) 236.5 223.73 211.65 200.22 189.41

Change(mg) - -12.77 -12.05 -11.43 -10.81

The change in the concentration of the drug in Heidi is calculated from the formula, 300(0.946)^t and is given in the table below:

t (hours) 1 2 3 4 5

f(t) (mg) 283.8 268.48 253.98 240.26 227.29

Change (mg) -15.12 -14.5 -13.72 -12.97

Comparing the rate of change of drug concentration in Clara and Heidi the rate of change of Heide is greater than the rate of change of Clara.

Therefore, the rate of elimination of the drug in Heidi is greater than the rate of elimination in Clara.

Learn more about rate of change at: https://brainly.com/question/25184007

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