The table shows the number of stars awarded in an online math game, based on the number of points earned. What does [tex]s(200) = 3[/tex] mean in terms of the problem?
To understand what [tex]\( s(200) = 3 \)[/tex] means in the context of the given problem, let's interpret the values in detail.
The problem involves points earned in an online math game and the corresponding number of stars awarded based on those points. The function [tex]\( s(x) \)[/tex] represents the number of stars awarded when a player earns [tex]\( x \)[/tex] points.
Given the specific value [tex]\( s(200) = 3 \)[/tex], we can break down the information as follows:
1. Points Earned: This is the first element in the given pairs of the table. So in this case, a player has earned 200 points.
2. Stars Awarded: This is the second element in the given pairs in the table. According to the given information, when 200 points are earned, the number of stars awarded is 3.
Thus, [tex]\( s(200) = 3 \)[/tex] means that if a player earns 200 points in the online math game, they will be awarded 3 stars.
The table reaffirms this by showing the pair: [tex]\[
\begin{array}{|c|c|}
\hline
\text{Points Earned} & \text{Stars Awarded} \\
\hline
200 & 3 \\
\hline
\end{array}
\][/tex] In summary, [tex]\( s(200)=3 \)[/tex] signifies that accumulating 200 points in the game corresponds to receiving 3 stars as a reward.
