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Math Help (Exponential Growth)?











































The population of a rural city follows the exponential growth model P(t) = 3100e^(0.034t) where t is the number of years after 1994.

What was the population of the city in 1994? Approximate the population in 2040.

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Apr 18, 2011
Math Help (Exponential Growth)
by: Staff


The question:

The population of a rural city follows the exponential growth model P(t) = 3100e^(0.034t) where t is the number of years after 1994.

What was the population of the city in 1994? Approximate the population in 2040.


The answer:

P(t) = 3100e^(0.034t)

t is the number of years after 1994


What was the population of the city in 1994?

Answer: 3100


Approximate the population in 2040

P(t) = 3100e^(0.034t)

t = 2040 – 1994 = 46 years

P(t) = 3100e^(0.034*46)

P(t) = 3100e^(1.564)

P(t) = 3100* 4.77789465

P(t) = 3100* 4.77789465

P(t) = 14,812

The final answer is: approximate population in 2040 = 14,812




Thanks for writing.


Staff
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