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Complete the table.
|______________||to create new data points, or to predict, outside of the domain of the data set|
|______________||a solution to a function that is not useful in the given context|
A population which increases continuously at a constant rate may be modeled with an exponential function.
A population which increases rapidly and then levels off may be modeled with a logarithmic function.
The equation for population growth is:
What does each letter in the equation mean? ______________ ______________ ______________ ______________
This equation is used in countless situations besides population growth. What are some situations in which you would use that equation? ________________________________________________________
For problems 1-3, calculate:
a) The growth factor
b) The final population
- If a population starts at 5,000 people in 1990, and increases at a rate of 9% per year, what is the population in 2037?
- If a population starts at 15,000 people in 2000, and increases at a rate of 6% per year, what is the population in 2019?
- If a population starts at 25,500 people in 1900, and increases at a rate of 4% per year, what is the population in 2004?
To solve complex logarithmic equations, you must use your knowledge from algebra as well as the logarithmic properties.
What are three logarithmic properties?
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