Question

Last year the full-time enrollment in a college was 3600 students. This year 3990 full-time students are on campus.

a. Determine the actual increase in full-time enrollment.

A) 390 students
B) 360 students
C) 3900 students
D) 990 students

b. Determine the relative increase (as a percent) in full-time enrollment.

A) 10%
B) 11%
C) 12%
D) 13%

Answer 1

The actual increase in full-time enrollment is 390 students. The relative increase is approximately 11%, rounding to the nearest whole number.

Step-by-step explanation:

To determine the actual increase in full-time enrollment at the college, subtract last year's enrollment from this year's enrollment:

• Last year's enrollment: 3600 students
• This year's enrollment: 3990 students
• Actual increase: 3990 - 3600 = 390 students

So the actual increase in full-time enrollment is 390 students, which corresponds to option A).

To calculate the relative increase (as a percent), use the following formula:

• Relative increase = (Actual increase / Last year's enrollment) × 100%
• Relative increase = (390 / 3600) × 100% ≈ 10.833%

Truncated to the nearest whole number, the relative increase is approximately 11%, which corresponds to option B).