1. A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between , the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)".

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Complete question :

A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t.

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

76.384 ;

68.389 ;

65.369;

62.749

Step-by-step explanation:

Given function:

r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)

The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t

a. What is the heart rate of this patient

5 minutes after the drug was administered?

t = 5 ; quantity of drug on patient's body ;

Q(5) = 250(0.8)^5 = 81.92

Q = 81.92

Heart rate (r)

r(81.92) = 60+ 0.2(81.92) = 76.384

t = 8 minutes?

Q(8) = 250(0.8)^8 = 41.94304

Q = 41.94304

Heart rate (r)

r(41.94304) = 60+ 0.2(41.94304) = 68.389

t = 10 minutes

Q(10) = 250(0.8)^10 = 26.8435456

Q = 26.8435456

Heart rate (r)

r(26.8435456) = 60+ 0.2(26.8435456) = 65.369

t = 13 minutes

Q(13) = 250(0.8)^13 = 13.7438953472

Q = 13.7438953472

Heart rate (r)

r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749