4. given the data below, where x is the independent variable and y is the dependent variable. if you
were to graph this data, what is the slope of the line?
y x
05
15 10
30 15
45 20
a. 1/3
b. 1/5
c. 5
d. 3

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