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≤19 / 4
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

Answer 1

To determine how many people \( p \) can come to play on a given night at the bridge club, we need to consider that each table accommodates 4 players and there are 19 tables. Therefore, the maximum number of players that can be accommodated is \( 19 \times 4 = 76 \).

Thus, we can express this as an inequality: \[ p \leq 76 \]

However, the options provided in your question appear to be set up differently. Let's analyze each option:

1. \( p \leq \frac{19}{4} \): This means the number of players cannot exceed \( 4.75 \), which doesn't make sense for a bridge club scenario.

2. \( \frac{p}{4} \leq 19 \): This means that if we divide the number of players by 4, it should not exceed 19, which simplifies to \( p \leq 76 \). This is correct.

3. \( \frac{p}{4} > 19 \): This means the number of players would have to exceed \( 76 \), which is incorrect.

4. \( 4p \leq 19 \): This means the product of 4 and the number of players cannot exceed 19, which doesn't make sense in this context.

Based on this analysis, the correct expression from your options is: \[ \frac{p}{4} \leq 19 \]