Question

Let S(t) be the number of students enrolled in a school district in terms of the number of years, t, after 2000. Which statements regarding function S are true? Select TWO that apply. Responses A. S(10)=S(5) means that there were the same number of students in 2010 as in 2005. B. S(3)= 2,015 means that there were 3 students in the year 2015. C. S(15) − S(10) = −40 means that there were 40 less students in 2010 than there were in 2015. D. S(5)= 2,024 means that there were 2,024 students in the year 2005. E. S(0) = 2,000 means that there were no students in the year 2000.

Answer 1

The correct responses are:

A) S(10)=S(5) means that there were the same number of students in 2010 as in 2005.

E) S(0) = 2,000 means that there were no students in the year 2000.

B and D are not plausible statements because they imply that there is an inverse relationship between t and S(t), meaning that the number of students decreases as t increases. Also, C is incorrect as it implies that there were fewer students in 2015 than there were in 2010, which contradicts the nature of the situation.