Question

Enrollment in a school has grown exponentially since the school opened. A graph depicting this growth is shown. Determine the percentage rate of growth.

Enrollment in a school has grown exponentially since the school opened. A graph depicting this growth is shown. Determine the percentage rate of growth.

An exponential graph has Time in Years on the x axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma thirty and passes through twenty comma eighty.

A. 0.6%
B. 6%
C. 0.06%
D. 1.06%

Answer 1

9514 1404 393

Answer:

B. 6%

Explanation:

The enrollment increases by a factor of 80/30 in 20 years, so the growth factor per year is ...

(8/3)^(1/20) ≈ 1.0503 = 1 + 5.03% = 1 + growth rate

The growth rate according to the description of the graph is 5.03% per year. The closest answer choice is ...

B. 6%