An algae population is growing at a rate equal to 10% of its population each day. Its initial size is 10,000 organisms. How many algae organisms are present after 10 days?
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An algae population is growing at a rate equal to 10% of its population each day. Its initial size is 10,000 organisms. How many algae organisms are present after 10 days?
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EXPONENTIAL GROWTH
Problem:
An algae population is growing at a rate equal to 10% of its population each day. Its initial size is 10,000 organisms. How many algae organisms are present after 10 days?
Answer with Step-by-step explanation:
This is a word problem that involves exponential growth. The formula in computing the population after a given time t is:
where:
In the word problem, let us list down first the given:
Remember that the population is growing at a rate of 10% each day so the unit of time t should be equal to the the specific unit of growth rate of the population. In this case, we have "days".
By direct substitution, we have:
If there is a decimal part, we will always round this up to the nearest whole number.
Therefore, the population after 10 days at a rate of growth of 10% per day is 27,183 organisms.
Learn more about exponential growth:
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