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.