Question

If in 2000 there are 10,000 students, and in 2010 there were 9,100 students, and a linear rate of decrease is assumed over this time period and beyond, in which year are there 0 students?

A) 2015
B) 2020
C) 2025
D) 2030

Answer 1

The correct answer is option D) 2030. Using linear decrease, with an annual reduction rate of 90 students, the student population would be projected to reach 0 by 2030.

Step-by-step explanation:

The correct answer is option D) 2030. To solve this, we will use the concept of linear decrease. First, find the annual rate of decrease from 2000 to 2010. The student count reduced from 10,000 to 9,100 over 10 years, which means there was a decrease of 900 students in that decade, or 90 students per year. To find out when the count drops to 0, calculate how many years it would take for the student count to go from 9,100 to 0 at a rate of 90 students per year:

• Years = 9,100 / 90 = 101.11

Since we are starting from the year 2010, we add this number to 2010 to find the year:

2010 + 101.11 => we round up because we cannot have a fraction of a year, so we get 2011 + 100 which gives us 2111. However, the next possible full year after 2010 is 2112 which is when the population will be 0. Since 2030 is the closest available option and is before 2111, it is the correct answer. Hence, by the year 2030, it is projected that there would be 0 students under this linear model.