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?

Question

Mathematics

Nikolas Baker

2 April, 18:42

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?

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Answers (2)

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Jaime Haley · Answer 1

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

Branden Arias · Answer 2

Branden Arias 2 April, 19:49

0

The answer will be 198 students