To interpret \( s(200) = 3 \) in the context of the table provided, let’s examine each of the given options and see which one aligns with the problem statement.
The table details the relationship between points earned and stars awarded:
[tex]\[
\begin{array}{|c|c|}
\hline \text{Points Earned} & \text{Stars Awarded} \\
\hline 50 & 1 \\
\hline 100 & 2 \\
\hline 200 & 3 \\
\hline 500 & 4 \\
\hline 1000 & 5 \\
\hline 5000 & 6 \\
\hline 9000 \\
\end{array}
\][/tex]
Given the statement \( s(200) = 3 \):
- \( s(x) \) denotes the number of stars awarded for \( x \) points earned.
Now, let's analyze each option provided:
Option A. A player who earns 200 points is awarded 3 stars.
- According to the table, earning 200 points corresponds to being awarded 3 stars.
- This option directly matches the provided \( s(200) = 3 \).
Option B. There are 200 players who have been awarded 3 stars.
- The table does not provide any information about the number of players.
- This option is irrelevant to the given \( s(200) = 3 \).
Option C. There are 3 players who have earned 200 points.
- Similar to option B, the table does not give details about the number of players.
- This option is not a correct interpretation of \( s(200) = 3 \).
Option D. A player who earns 3 points is awarded 200 stars.
- This is a reversed interpretation of the given setting and does not align with the information provided in the table.
- According to the table, 200 points should award 3 stars, not the other way around.
Therefore, the correct interpretation is:
A. A player who earns 200 points is awarded 3 stars.
