Final answer:
The student population will be approximately 2905 in five years. Therefore, the correct option is C. 2905
Step-by-step explanation:
To calculate the student population in five years, we need to apply the given growth rate of 14.5% per year to the current population of 2100. To do this, we can use the formula:
New Population = Current Population × (1 + Growth Rate)^Number of Years
Plugging in the values, we get:
New Population = 2100 × (1 + 0.145)^5
Simplifying the calculation, the new student population after five years will be approximately 2905.