ASK YOUR Teacher A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For purposes of this problem, we assume that this 19% annual rate of decrease continues. (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009 W = (b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of decline continue for the wolf population to reach 50? (Round your answer to two decimal places.) yr

ASK YOUR Teacher A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. For purposes of this problem, we assume that this 19% annual rate of decrease continues. (a) Find an exponential model that gives the wolf population W as a function of the time t in years since 2009 W = (b) It is expected that the wolf population cannot recover if there are fewer than 50 individuals. How long must this rate of decline continue for the wolf population to reach 50? (Round your answer to two decimal places.) yr

Name: What are the blanks? ASK YOUR TeacherA report tells us that in 2009, t
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: What are the blanks? ASK YOUR TeacherA report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population declined by 19% that year. Forpurposes of this problem, we assume that this 19% annual rate of decrease continues.(a) Fi

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

See similar textbooks

Similar questions

With what kind of exponential model would half-life be associated? What role does half-life play in these models?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
What is the difference between the equation for exponential growth versus the equation for exponential decay?
Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvest
Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.