277,168 views
10 votes
10 votes
If the population of

an alien race doubles

every two minutes,

how long will it take

for the population to

grow from 1,000 to 32,000 ?

User Paxdiablo
by
3.6k points

2 Answers

25 votes
25 votes

Final answer:

To find out how long it takes for the population to grow from 1,000 to 32,000, we need to determine the number of times the population doubles. The population doubles every two minutes, so using this information, we can calculate that it takes approximately 9.288 minutes for the population to grow from 1,000 to 32,000.

Step-by-step explanation:

To find out how long it takes for the population to grow from 1,000 to 32,000, we need to determine the number of times the population doubles. Since the population doubles every two minutes, we can set up an equation:

1000 * 2x = 32000

where x represents the number of times the population doubles. To solve for x, we can take the logarithm of both sides of the equation:

x = log2(32000/1000)

Using a calculator, we find that x is approximately 4.6439. Since each doubling takes two minutes, we can multiply x by 2 to get the total time it takes for the population to grow from 1,000 to 32,000, which is approximately 9.288 minutes.

User Shawn Whinnery
by
3.0k points
10 votes
10 votes
It would take 32 minutes.

1,000 * 32 = 32,000
User Baskaran
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2.6k points