Let’s interpret the provided information based on the context of function \( S(t) \), which describes the number of students enrolled in a school district based on the number of years \( t \) after 2000.
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\( S(15) = 3 \) means that there were 3 students in the year 2015. (TRUE)
- Since 2015 corresponds to \( t = 15 \) (15 years after 2000), this statement is true.
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\( S(5) = 2024 \) means that there were 2,024 students in the year 2005. (TRUE)
- Here, 2005 corresponds to \( t = 5 \) (5 years after 2000), so this statement is also true.
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\( S(10) = S(5) \) means that there were the same number of students in 2010 as in 2005. (This may depend on the function, but generally, it does not assume equality of enrollments over different years without additional information, so this is assumed FALSE.)
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\( S(0) = 0 \) means that there were no students in the year 2000. (This also cannot be assumed true without specific information about student enrollment in 2000, so it is generally considered FALSE.)
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If we think about comparing \( S(10) \) (2010) and \( S(15) \) (2015), stating that there were 40 fewer students in 2010 than in 2015 assumes specific data about the function and generally can't be considered true without knowing how \( S(t) \) behaves. (This would likely be FALSE.)
Based on the provided statements:
The two correct statements are:
- \( S(15) = 3 \) means that there were 3 students in the year 2015. (TRUE)
- \( S(5) = 2024 \) means that there were 2,024 students in the year 2005. (TRUE)