The members of a bridge club are divided into tables of 4 to play bridge. There are 19 bridge tables at the club. What inequality expresses how many people can come to play on a given night?(1 point)
A) p4>19
B) p≤194
C) 4p≤19
D) p4≤19
The correct answer is B) p≤194.
To find out how many people can come to play on a given night, we need to multiply the number of tables by the number of players per table, which is 4. So the total number of players is:
total number of players = 19 tables × 4 players per table
total number of players = 76
Therefore, the number of players, p, must be less than or equal to 76:
p ≤ 76
However, we also know that there are 19 tables, and each table has 4 players, so the number of players, p, must be a multiple of 4:
p = 4n, where n is a positive integer
Substituting this into the inequality, we get:
4n ≤ 76
Dividing both sides by 4, we get:
n ≤ 19
Therefore, the inequality that expresses how many people can come to play on a given night is:
p = 4n ≤ 4 × 19 = 76
or
p ≤ 76
So the correct answer is B) p≤194.