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OpenStudy (anonymous):
OpenStudy (anonymous):
@mathstudent55
OpenStudy (mathstudent55):
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OpenStudy (anonymous):
whats the first number
OpenStudy (mathstudent55):
We are building up the formula step by step.
The first number you need is the beginning number.
In this case, we start with 2,500,000 in year 1950.
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OpenStudy (mathstudent55):
If the population doubles, what is the percent increase?
OpenStudy (anonymous):
power of wht?
OpenStudy (mathstudent55):
Whatever the population is now, it is 100% of the population.
100% means the full amount.
If the population doubles, that means you add another full population to it.
Since the full population is 100% and you add another full population, you add another 100%. Now you have 200%.
OpenStudy (anonymous):
how about the future amount?
OpenStudy (anonymous):
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OpenStudy (anonymous):
20000000?
OpenStudy (mathstudent55):
Correct. Since 100% = 1, then you have (1 + 1)^ n
OpenStudy (anonymous):
ok
OpenStudy (mathstudent55):
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OpenStudy (mathstudent55):
You are also correct with the exponent.
A better description of the exponent is that it's the number of periods, not the number of years.
Each period to double the population is 50 years.
From 1950 to 2100 there are 150 years, or 3 periods of 50 years, so the exponent is 3.
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