1. decay

17. The population of Springield was 3500 in 1940. Assuming the population is increasing at a rate of 3.2%, what will the population be in 2005?

2. Originally Posted by rlarach
17. The population of Springield was 3500 in 1940. Assuming the population is increasing at a rate of 3.2%, what will the population be in 2005?
Standard formula: $P = P_0 e^kt$

where $k$ is the % population growth rate divided by 100 and $P_0$ is the initial population.

For your question, $P_0 = 3500$ (taking 1940 to be t = 0) and k = 3.2/100 = 0.032. Therefore P = .......

Now sub t = 65 and solve for P.