Question

You have caught 100 flies, marked them, and released them back in a greenhouse of area 100 m2. assume the fly population doubles every 4 days; assume no flies die. after 12 days, you catch 400 flies and find that 10 out of them are marked. what is your estimate of the number of flies in the greenhouse at the start of your experiment?

Answer 1

At the start of the experiment 500 flies are estimated.




Plzzzzzzzzzzzz mark it as brainliest.

Answer 2

Answer:

Hence, the estimation of the number of flies in the greenhouse at the start of your experiment is:

500.                                                

Step-by-step explanation:

Assume initial population of flies was = P

As it doubles every 4th day, and the flies were caught after 12 days this means that:

After 12 days the population of flies will be = 8 P

( since after four days it will be:

2P

After 8 days it will be:

2×(2P)=4P

After 12 days it will be:

2×(4P)=8P )

Total marked flies = 100

Total caught = 400

Out of caught, marked = 10

So, proportion of flies marked is given as:

$\dfrac{10}{400}$

As there are total 100 flies marked out of 8P.

Hence, it is given as:

$100=\dfrac{10}{400}\times 8P\\\\8P=\dfrac{400}{10}\times 100\\\\P=\dfrac{4000}{10\times 8}\\\\P=500$

Hence, the number of flies in the greenhouse at the start of your experiment is:

500