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
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.
Learn More:
A culture of bacteria grows at a rate proportional to the number of ...
brainly.in/question/17008734
In a culture, the bacteria count is 1,00,000. The number is increased ...
brainly.in/question/3663816
Given :-
- Initial population of rats = 1000 .
- Rate of increasing = four time in 2 years.
To Find :-
- Rats after 10 years ?
Solution :-
we have,
→ Rats after first 2 years = 4 times of initial = 4 * 1000 = 4000 rats .
now,
→ Rats after next 2 years (Total after 4 years) = 4 times of rats that were after 2 years = 4 * 4000 = 16000
and,
→ Rats after next 2 years (Total after 6 years) = 4 times of rats that were after 4 years = 4 * 16000 = 64000
again,
→ Rats after next 2 years (Total after 8 years) = 4 times of rats that were after 6 years = 4 * 64000 = 256000
→ Rats after next 2 years (Total after 10 years) = 4 times of rats that were after 8 years = 4 * 256000 = 1024000 rats .
therefore, scientists have to manage 1024000 rats in the end of 10 years .
Learn more :-
A tennis team has won 15 out of 20 matches they played this season. How many additional matches must the team win in a r...
https://brainly.in/question/36260947
in a bag , number one rupee coin is three time then two rupees coin if there are only Rs 150 in this bag , then find out...
https://brainly.in/question/37085003
ek sankhya batao Jo 100 se aadhe hai 40 se jyada per 50 se kam hai jismein dahi ka ank ikai ke ank se 2 adhik hai is ank...
https://brainly.in/question/37009319