# 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.

### Comments for Math Help (Exponential Growth)?

 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 www.solving-math-problems.com