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Answer:
<em>The Estimate for the population in 2008 is 33 million </em>
Step-by-step explanation:
<u>Exponential Function</u>
Some real-life situations can be modeled by using the exponential function which takes the form
Where A and k are constants, and t is the independent variable.
We are given two data. A country's population in 1992 was 28 million and in 1999 it was 30 million.
Let's express P as the population in million and t the time in years elapsed since 1992.
The information can be written as two points: (0,28), (7,30). Please recall that the second data comes from the year 1999, seven years after the zero reference.
We only have to replace both points in the general form:
We know A=28 million
Also
Taking logarithms
Solving for k
The model is complete now:
For the year 2008, t=2008-1992=16 years
The Estimate for the population in 2008 is 33 million
Answer:
4
Step-by-step explanation: