Select two of the following choices and place them in the bl

Select two of the following choices and place them in the blanks belwo so that the resulting statements are true:

M(5) = 210(0.89)^t 155 M(t) = 210 (0.11)^t 117 M(t) = 11(210)^t 28

a patient takes a 210-milligram dose of medicne. The amount of medicince present in the body decreases by 11 percent each hour after it is taken. The amount of medicine M present in the body t hours after the medicine is taken can be modleed by the function _______________. According to the model, ______________milligrams of the medicine are present in the body 5 hours after the medicine is taken

36. Select two of the following choices and place them in the blanks below so that the resulting statements are true. M(t) 210(0.89) 155 117 M(t) = 210(0.11)\' 28 M(t) = 11(210), A patient takes a 210-milligram dose of medicine. The amount of medicine present in the body decreases by 11 percent each hour after it is taken. The amount of medicine M present in the body t hours after the medicine is taken can be modeled by the function model, medicine are present in the body 5 hours after According to the milligrams of the the medicine is taken.

Solution

It can be modelled by exponential function:

intial amount = 210 gms

rate of decrease = 11% =0.11

So, M(t) = 210(1 -0.11)^t where t is no of hrs passed

= 210(0.89)^t

After 5 hrs amount of medicine = 210(0.89)^5 = 117.265 = 117 gms