Question

Each year the local university admissions committee accepts 2.5% more students that they accepted the previous year. If 1,675 students were admitted to the university when this trend started, how many students will be admitted in year five?

Answer 1

To find the number of students admitted in year five, calculate the increasing trend over the years. Approximately 1,850 students will be admitted in year five.

Step-by-step explanation:

To find the number of students admitted in year five, we need to calculate the increasing trend over the years. With an increase of 2.5% each year, the total number of students admitted in year five can be calculated as follows:

Year 1: 1,675

Year 2: 1,675 + 2.5% of 1,675 = 1,716.875 ≈ 1,717

Year 3: 1,717 + 2.5% of 1,717 = 1,760.4925 ≈ 1,760

Year 4: 1,760 + 2.5% of 1,760 = 1,805.1 ≈ 1,805

Year 5: 1,805 + 2.5% of 1,805 = 1,850.125 ≈ 1,850

Therefore, approximately 1,850 students will be admitted in year five.