To determine which equation matches the given information, let's carefully analyze the problem step by step.
1. We are given that the number of small tables [tex]\( s \)[/tex] is twice the number of large tables [tex]\( t \)[/tex].
2. We need to express this relationship mathematically. Since [tex]\( s \)[/tex] (small tables) is twice [tex]\( t \)[/tex] (large tables), we can write:
[tex]\[
s = 2 \cdot t
\][/tex]
3. Looking at the given options:
- [tex]\( 2 \cdot t = s \)[/tex] suggests that twice the number of large tables equals the number of small tables, which matches our relationship.
- [tex]\( 2 + t = s \)[/tex] suggests adding 2 to the number of large tables equals the number of small tables, which does not match the relationship.
- [tex]\( 2 \cdot s = t \)[/tex] suggests that twice the number of small tables equals the number of large tables, which is the inverse of the relationship we need.
- [tex]\( s \cdot t = 2 \)[/tex] suggests that the product of the number of small tables and large tables equals 2, which also does not match the relationship.
4. Therefore, the correct equation that matches the information provided is:
[tex]\[
2 \cdot t = s
\][/tex]
This is the equation that accurately represents the relationship between the number of small tables and large tables in the conference room.
