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?
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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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Answer:
1000000 is the answer
Step-by-step explanation: