Question

The number of graduates at a highschool has increased by a factor of 1.055 every year since 2001. In 2001, 110 students graduated. The function N = 110(1.055)^t models the number of students N expected to graduate t years after 2001. How many students will graduate in 2012?

Answer 1

the answer will be 198 students

Answer 2

This question requires that you work out the value of t, then substitute into the equation for N.

2012 - 2001 = 11, ∴ t = 11

∴ N = 110*(1.055)^11 = 198.23
Since there N must be an integer, N = 198 students