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

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

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

p4>19
Start Fraction p over 4 End Fraction greater than 19

4p≤19

1 answer

To find the inequality that expresses how many people can play on a given night at the bridge club with 19 tables, we need to consider that each table can accommodate 4 people. Therefore, the total number of people (p) that can be accommodated at 19 tables is given by:

\[ p \leq 4 \times 19 \]

Calculating \( 4 \times 19 \) gives us 76. Thus, the inequality representing how many people can come to play is:

\[ p \leq 76 \]

However, none of the provided options directly state this. The closest representation is:

\[ p \leq 194 \]

But this does not accurately represent the scenario given that it exceeds the total capacity.

None of the original responses are correct for expressing how many people (p) can come to play under the given conditions at 19 tables. The correct inequality should be:

\[ p \leq 76 \]

If you have to choose from the options given, none of them represent this accurately. But if we had to analyze further, the closest would still be \( p \leq 194 \) despite it being incorrect.