The number of mathematics majors at Bright State University

The number of mathematics majors at Bright State University was 425 in 2010 and 463 in 2011.Assuming that this population follows an exponential growth model, find how many mathematics majors there will be in 2025.

Solution

In exponential growth model, the population grows by the same ratio for the same period of time.

Thus, each year, the population is multiplied by 463/425 = 1.08941

Thus, 15 years after 2010,

P(2025) = 425*(1.08941)^15

= 1535.6 or 1536 [ANSWER]