{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ps8q - MIT Department of Biology 7.014 Introductory Biology...

This preview shows pages 1–3. Sign up to view the full content.

MIT Department of Biology 7.014 Introductory Biology, Spring 2004 7.014 Spring 2004 PS 8 1 of 6 7.014 Problem Set 8 Please print out this problem set and record your answers on the printed copy. Problem sets will not be accepted late. Question 1 You are studying how the growth of a population of your favorite species of frog, Xenopus tropicalis . You construct a massive pond for the frogs and provide them with an unlimited food supply. a) You begin your experiment with 50 frogs and after 10 months you find 61 frogs in your pond. Assume a continuous growth model for the population. i) What is the intrinsic rate of increase in units of months -1 for the frogs (to the nearest hundredth)? ii) How long will it take for your initial population of frogs to double (in months)? b) You allow the population of frogs to increase to double the initial population, but then you realize that you don’t really have the space or resources to allow the population to continue to grow unchecked. You consider two possible ways to naturally cut the rate of growth of the population. i) You decide to simply cut the supply of food to the frogs (harsh though this may sound you reason that it will cause a decrease in new breeding and eventually you will reach a steady state population). After another 10 months you find that you have population of 106 frogs. Assuming the value for r max is the same as it was in part a, and that population growth is following the logistic equation, estimate what the carrying capacity (in number of frogs) is for your environment. 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
7.014 Spring 2004 PS 8 2 of 6 Question 1, continued b) ii) Your second option is to introduce frog-eating snakes into your pond environment.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern