An animal population currently has 7200 members and is reproducing at a rate of R(t) = 2230 + 70t members per year. The proportion of members that survive after t years is given by S(t) = 1/(t + 1). (a) How many of the original members survive four years? 1440 animals (b) How many new members are added during the next four years? 2510 animals (c) Explain why the animal population four years from now is not the same as the sum of your answers from parts (a) and (b). Some of the the new animals reproduced. All of the original animals survive. Not all of the new animals survive. Not all of the original animals survive. All of the new animals survive.
Added by Adam N.
Close
Step 1
(a) Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 95 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
An animal population currently has 7800 members and is reproducing at a rate of R(t) = 2230 + 60t members per year. The proportion of members that survive after t years is given by S(t) = 1/(t + 1). (a) How many of the original members survive three years? animals (b) How many new members are added during the next three years? animals (c) Explain why the animal population three years from now is not the same as the sum of your answers from parts (a) and (b). All of the new animals survive. Not all of the original animals survive. Not all of the new animals survive. All of the original animals survive. Some of the the new animals reproduced.
Madhur L.
Animal survival and renewal An animal population currently has 7400 members and is reproducing at the rate $R(t)=2240+60 t$ members/year. The proportion of members that survive after $t$ years is given by $S(t)=1 /(t+1)$ . (a) How many of the original members survive four years? (b) How many new members are added during the next four years? (c) Explain why the animal population four years from now is not the same as the sum of your answers from parts (a) and (b).
Applications of Integrals
Further Applications to Biology
A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years. P(t) = 400 / (1 + 8e^(-0.29t)) Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals
Julie S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD