Answer:
[tex]f(t) = 924 (1.045)^t[/tex]
1788 students will graduate in 2014
Step-by-step explanation:
This is simple example of Geometric Progression.
In 1999 the number of students are 924
in 2000 the number of students will be 924 x (1.045)
in 2001 the number of students will be 924 x (1.045)²
in 2002 the number of students will be 924 x (1.045)³
Hence the formula for this can be derived to be
[tex]f(t) = 924 (1.045)^t[/tex] where t is the total number of years
Since 15 years passed from 1999 to 2014 we can use the formula to find the number of students that graduated
[tex]f(15) = 924 (1.045)^1^5\\ f(15) = 1788.20[/tex]
Since we cannot have a fraction of a student we round this down to
1788 students
