The table below shows the relationship between the number of cafeteria tables and the number of seats for students
Number of tables n,
3
5
7
9
11
Number of seats s
36
60
84
108
132
3n 36s
5n 60s
7n 84s
9n 108s
11n 132s
Which equation could be used to determine s, the number of seats for students, in terms of n, the number of cafeteria tables?
A. s=n+24
B.s=12n
C.s=n/12
D.s=24n
B?
To determine the equation that relates the number of seats for students (s) to the number of cafeteria tables (n), we can observe the relationship between the variables in the given table.
Looking at the table, we can see that the number of seats (s) is always a multiple of the number of tables (n). In other words, when we double the number of tables, the number of seats doubles as well.
Among the given options, the equation that satisfies this relationship is:
B. s = 12n
Explanation: If we multiply the number of tables (n) by 12, we obtain the corresponding number of seats (s) as shown in the table:
3n = 36s
5n = 60s
7n = 84s
9n = 108s
11n = 132s
Therefore, the equation s = 12n is the correct choice.