The number of students studying algebra at State College is 543.The Department Chair expects enrollment to increase 13% each year.How many professors will be needed in 5 years to teach algebra
If one professor can handle 70 students?
A)12 professors
B)17 professors
C)14 professors
D)28 professors
E)13 professors

Question

Quizplus · Accepted Answer

To find the number of students studying algebra in 5 years, we need to use the formula for compound interest:
A = P(1 + r)^t
where A is the final amount (number of students), P is the initial amount (543), r is the annual interest rate (13%), and t is the number of years (5).

A = 543(1 + 0.13)^5
A = 1085.15

So there will be 1085.15 students studying algebra in 5 years. To find the number of professors needed to teach this many students, we divide by the number of students each professor can handle:
Number of professors = Number of students / Students per professor
Number of professors = 1085.15 / 70
Number of professors ≈ 15.50

Since we can't have half a professor, we round up to the nearest whole number, giving us:
Number of professors = 16

Therefore, the best choice is C) 14 professors.

The Number of Students Studying Algebra at State College Is