SOLUTION: 13. A population of rare birds, P sub t, can be modeled by the equation P sub t, P0e^kt, where Psub0 is the initial population, and t is measured in decades. After one decade, it i

Question 1104200: 13. A population of rare birds, P sub t, can be modeled by the equation P sub t, P0e^kt, where Psub0 is the initial population, and t is measured in decades. After one decade, it is estimated that Psub1/Psub0 = 0.9.
(i) Find the value of k.
(ii) Interpref the meaning of the value of k.
Answer by josgarithmetic(39615) (Show Source): You can put this solution on YOUR website!
Time t in decades
Only needed is ratio between P and
e, you know

If ;

---------and is negative, for exponential decay

Model equation becomes
(Depending on what accuracy you want for k)
RELATED QUESTIONS
P(t < t₀0)=.005 where df is 7. What is the value of... (answered by Edwin McCravy)

The rodent population in our city is currently estimated at 30,000. If it grows at the... (answered by nerdybill)

Could someone help explain how to correctly solve the equation. The population P of a (answered by greenestamps)

A species of animal is discovered on an island. Suppose that the population size P(t) of... (answered by stanbon)

The population P of a small town can be modeled by: P=Ae^0.018t where t represents (answered by jim_thompson5910)

The population, P, of a bacteria colony at t hours can be modeled by {{{ P(t) = 500 + t... (answered by ikleyn)

A species of fish was added to a lake. The population size P(t) of this species can... (answered by ewatrrr)

A species of fish was added to a lake. The population size P(t) of this species can be... (answered by TimothyLamb)

A species of fish was added to a lake. The population size P(t) of this species can be... (answered by Fombitz)