Final Answer:
A community pool has 4 lounge chairs available for each family that visits. If there are fewer than 128 lounge chairs, number of families are
families (option d)
Step-by-step explanation:
The number of families, denoted as \( f \), that can visit the pool is limited by the available number of lounge chairs. Since there are 4 lounge chairs available for each family, the total number of chairs, \( C \), can be expressed as \( C = 4f \), where \( f \) represents the number of families.
The inequality to represent the constraint is \( C < 128 \). Substituting the expression for \( C \) gives \( 4f < 128 \). To find the number of families, isolate \( f \) by dividing both sides of the inequality by 4, resulting in \( f < 32 \cdot \) 4.
Therefore, the correct inequality is \( f < 124 \) families, option d. This signifies that the number of families visiting the pool must be less than 124 to ensure there are enough lounge chairs for all families, given that there are fewer than 128 lounge chairs available.
Understanding inequalities and their applications in representing constraints and conditions is essential for solving real-world problems involving limitations or constraints, as seen in this scenario involving the allocation of lounge chairs based on the number of visiting families.