Question
According to the U.S. Census Bureau, the projected world population t years after 2010 is given by the function
According to the U.S. Census Bureau, the projected world population t years after 2010 is given
by the function:
f(t) = 6.947e^(0.00745t)
Could you use the given function to calculate what the world population was in 2005?
Explain.
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Koala Tutor
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To calculate the world population in 2005 using the given function, we need to substitute t = -5 into the equation f(t) = 6.947e^(0.00745t).
f(-5) = 6.947e^(0.00745(-5))
f(-5) = 6.947e^(-0.03725)
Now we can calculate the population in 2005:
f(-5) ≈ 6.947e^(-0.03725)
f(-5) ≈ 6.947(0.963142)
f(-5) ≈ 6.692 million
Therefore, the estimated world population in 2005 based on the given function is approximately 6.692 million.
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