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)

Question

A) p4>19

B) p≤194

C) 4p≤19

D) p4≤19

Answer 1

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.