Question

HELP PLS A medical team has found that the blood concentration of a particular medicine has a decay rate of 40% in 24 hours. How much of an initial dose of 1,000 mg of the medicine will be detected after 48 hours? Round to the nearest mg

Answer 1

Answer: 360 mg of the medicine will be detected after 48 hours

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

P represents the initial dosage of the medicine.

A represents the final dosage of the medicine after t hours.

t represents the number of hours.

r represents the rate of decay

From the information given

P = 1000 mg

r = 40% = 40/100 = 0.4

The expression becomes

A = 1000(1 - 0.4)^t

A = 1000(0.6)^t

In 48 hours, t = 2

Therefore,

A = 1000(0.6)^2

A = 360