In a population biology lab, rats are kept together in an artificial colony. Since the scientists wanted to do a long-term experiment, they decided the rats should be able to breed like they do in the natural environment. In their natural habitat, up to 1000 rats form one colony. The scientists used this as the starting population for rats. Very soon the rats started to breed and grow in number at an average rate of P. When two years had passed, scientists, though excited about their results, were challenged with maintaining the rat colony that had grown four times. The overall population of rats was now 2828P. If this experiment runs for 10 years before the scientists can get a clear picture, how many rats will have to manage in the lab?
Answers
Answer:
This chapter provides guidelines for the environment, housing, and management of laboratory animals used or produced for research, testing, and teaching. These guidelines are applicable across species and are relatively general; additional information should be sought about how to apply them to meet the specific needs of any species, strain, or use (see Appendix A for references). The chapter is divided into recommendations for terrestrial (page 42) and aquatic animals (page 77), as there are fundamental differences in their environmental requirements as well as animal husbandry, housing, and care needs. Although formulated specifically for vertebrate species, the general principles of humane animal care as set out in the Guide may also apply to invertebrate species.
Explanation:
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Given : In their natural habitat, up to 1000 rats form one colony
The scientists used this as the starting population for rats.
When two years had passed, rat colony that had grown four times.
experiment runs for 10 years
To Find : how many rats will have to manage in the lab
a) 1,000,000
b) 1,024,000
c) 1,036,000
d) 1,048,000
Solution :
Initially Rats = 1000
in 2 Years = 4000
=> Growth in 2 years = 4000/1000 = 4 times
in next 2 years => ( 4 years ) rats will be = 4000 x 4 = 16000
in further next 2 years => ( 6 years ) rats will be = 16000 x 4 = 64000
in further next 2 years => ( 8 years ) rats will be = 64000 x 4 = 256000
in further next 2 years => ( 10 years ) rats will be =256000 x 4 = 1024000
Hence 1,024,000 Rates to be managed.
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