Question

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)
Responses

p4≤19
Start Fraction p over 4 End Fraction less-than-or-equal-to 19

4/p≤19
4 p less-than-or-equal-to 19

p≤194
p less-than-or-equal-to Start Fraction 19 over 4 End Fraction

p/4>19

Answer 1

To express how many people (p) can come to play on a given night at a bridge club with 19 tables, we recognize that each table can accommodate 4 players. Therefore, we can set up the following relationship:

Since there are 19 tables, the maximum number of players that can participate is \(4 \times 19\).

Thus, the total number of players \(p\) must be less than or equal to this maximum number:

\[
p \leq 4 \times 19
\]

Calculating that gives \(4 \times 19 = 76\).

So the inequality that expresses how many people can come to play is:

\[
p \leq 76
\]

This is not directly provided in the options, but if we rewrite \(p/4 \leq 19\), it also conveys that the number of players divided by the number of players per table (4) cannot exceed the number of tables available (19).

Thus, the correct response from the given options is:

**Start Fraction p over 4 End Fraction less-than-or-equal-to 19**
or in symbolic form,
\[
\frac{p}{4} \leq 19
\]