Need algebra help to Suppose that the population size P(t) after t hours is given by the following

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Dec 18th, 2015

Thank you for the opportunity to help you with your question!

We are given a function as

P(t) = 2900(0.91)^t

First Part:

To find the initial population size, put t=0

We get P(0) = 2900*1 = 2900

Second Part:

The function represents decay since 0.91<1.

Third Part:

To find the %change per hr, let us take P(t) and P(t+1)

So %change per hr = {P(t+1) - P(t)}/P(t) *100

%change = {2900(0.91)^(t+1) - 2900(0.91)^t}/2900(0.91)^t *100

%change = (0.91-1)*100

%change = -0.09*100

%change= -9% where negative sign signifies decay

Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 18th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
Dec 18th, 2015
Dec 18th, 2015
Jun 26th, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer