For this case we have an exponential function of the form:
[tex]f (x) = A (b) ^ x[/tex]
Where,
We then have the following function:
[tex]f (x) = 248 (1.15) ^ x[/tex]
After three years we have:
[tex]f (x) = 248 (1.15) ^ 3\\f (x) = 377[/tex]
Answer:
the population 3 years after beginning the study is 377.