The number of students studying algebra at State College is 511.The Department Chair expects enrollment to increase 11% each year.How many professors will be needed in 8 years to teach algebra
If one professor can handle 50 students?
A)22 professors
B)46 professors
C)26 professors
D)21 professors
E)23 professors

Question

Quizplus · Accepted Answer

To find the number of students in 8 years, use the formula for compound interest: Future Value = Present Value * (1 + rate)^time. Here, Future Value = 511 * (1 + 0.11)^8 ≈ 1192. To find the number of professors needed, divide the future number of students by the number of students one professor can handle: 1192 / 50 ≈ 23.84. Therefore, 24 professors are needed, but since the options are whole numbers, the closest is 23 professors.

The Number of Students Studying Algebra at State College Is