Evan takes 100 milligrams of medicine. the  amount  of medicine in his bloodstream  decreases  by 0.4 milligram each  minute  for a number of  minutes,  m, after that. he writes the  expression  100 – 0.4m  to find the  amount  of medicine in his bloodstream after  m  minutes. which  statement  about his  expression  is true? a.it is the product of the initial amount and the amount of decrease each minute,  m.b.it is the difference between the initial amount and the amount of decrease after  m  minutes.c.it is the product of the initial amount and the amount of decrease after  m  minutes.d.it is the difference between the initial amount and the number of minutes,  m.

if we minus total medicine- decreases medicine in a min we get

.b)   it is the difference between the initial amount and the amount of decrease after m minutes

Population decay where rate of decay is proportional to the population present

Step-by-step explanation:

Given that

Here N (t) represents the population or amount of bacteria present at time t.

N0 represents the initial population or N(0)

Since e has negative exponent, there is population decay and not expansion.

l, the coefficient of t in the exponent of e is the factor which represents the rate of decay

Whenever decay is proportional to the population present at that time, we get this equation.

N'=-lN

Separate the variables and integrate to get