Write an equation to represent the population since 2010 and predict the population in 2020.
Answer to Problem 5GP
The equation to represent the population since 2010 is
The population in 2020 is 86,023.
Explanation of Solution
Given information:
Initial population is 88,647.
Decay rate of population is 0.3%.
Calculation:
We know the exponential function equation is given by
Also
Initial population
Decay rate
Decay factor
Plugging the value of a and b in exponential function equation
Therefore, the equation to represent the population since 2010 is
For year 2020 the value of t is
Now, plugging the value of t in
Therefore, the population in 2020 is approximately 86,023.
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