Question

10)

In 1990, about 13.8 million students were enrolled in U.S. colleges. In

2000, about 14.9 million students were projected to be enrolled in U.S.

colleges. Find the average rate of change in the number of students per

year.

Answer 1

0.77% increase per year

Explanation:

total % increase in the number of college students between 1990 and 2000:

= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%

average rate of increase per year:

1.07971 = (1 + r)¹⁰

¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰

1.007699 = 1 + r

r = 1.007699 - 1 = 0.007699 = 0.77% increase per year