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

Responses

p/4>19
Start Fraction p over 4 End Fraction greater than 19

p≤19/4
p less-than-or-equal-to Start Fraction 19 over 4 End Fraction

p/4≤19
Start Fraction p over 4 End Fraction less-than-or-equal-to 19

4p≤19

Answer 1

To express how many people can come to play on a given night at the bridge club with 19 tables, we can start by noting that each table accommodates 4 players. Therefore, the total number of players, \( p \), that can play is equal to the number of tables multiplied by the number of players per table:

\[ p \leq 4 \times 19 \]

This simplifies to:

\[ p \leq 76 \]

Now, looking at the options you provided, the correct inequality to express the number of players is:

\[ p/4 \leq 19 \]

This is because if you multiply both sides of \( p/4 \leq 19 \) by 4, you get \( p \leq 76 \), which is consistent with our conclusion.

So, the correct response is:

p/4 ≤ 19 (Start Fraction p over 4 End Fraction less-than-or-equal-to 19)