Question

The graph below shows the number of students who pass different semesters in a certain year.

Which of the following semesters represent the condition when the number of students who pass remains constant over the years?

• A. Semester 1
• B. Semester 4
• C. Semester 3
• D. Semester 2

Answer 1

The correct option is B Semester 4

For number of students who pass over time to remain constant, we have to find the function that is constant.


Let's consider Semester 1:

Year	No. of students passing
2010	10
2012	15

Number of students who pass has increased with respect to time (year).

∴ Semester 1 represents an increasing function.

Let's consider Semester 2:

Year	No. of students passing
2012	15
2014	5

Number of students who pass has decreased with respect to time (year).

∴ Semester 2 represents a decreasing function.

Let's consider Semester 3:

Year	No. of students passing
2014	5
2016	10

Number of students who pass has increased with respect to time (year).

∴ Semester 3 represents an increasing function.

Let's consider Semester 4:

Year	No. of students passing
2016	10
2018	10

Number of students who pass has not changed with respect to time (year).

∴ Semester 4 represents a constant function.

Therefore, only Semester 4 represents the condition where the number of passing students is constant over time.