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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
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B
Semester 4
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C
Semester 3
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D
Semester 2
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Solution

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.

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