Based on the census data, the population of whoville was 43,230 in the year of 2000 and has been growing at a rate of 3.5%
a. write an expontional modle for the population p(t), where t represents the number of years since 2000.
b. using your model, what is the estimated population in 2015?

The model would take the form of



So in 2015, when , the population would be



On the other hand, you could use the following discrete model for the population, which gives a similar result. If corresponds to the year 2000, then in 2001, when , you have



In the next year,



And so on, making the general pattern for the th year to be



This means in the year 2015, or when , the population should be approximately