Final answer:
The inequality to express the time Cassie meets Rita, when t represents the meeting time between 15 to 20 minutes, can be written in several ways. Without further context, option b) 15 ≤ t ≤ 20 would generally be chosen if inclusivity of exactly 15 or 20 minutes is possible.
Step-by-step explanation:
The question concerns expressing an inequality based on a given situation. If Cassie meets Rita at a time t, and this meeting time is between 15 to 20 minutes, then we can write the inequality in different ways depending on whether the meeting time can be exactly 15 minutes or 20 minutes, or it must be strictly between them. The four options provided describe different scenarios of inclusive or exclusive boundaries.
- Option a) 15 < t < 20 indicates that Cassie meets Rita strictly after 15 minutes and strictly before 20 minutes.
- Option b) 15 ≤ t ≤ 20 indicates that Cassie can meet Rita exactly at 15 minutes, any time after that, and up to and including exactly 20 minutes.
- Option c) t > 15 and t < 20 is another way of stating option a), with a more explicit separation of the two conditions.
- Option d) t ≥ 15 and t ≤ 20 is similar to option b) but is expressed as two separate conditions. It implies that the meeting time can be exactly 15 minutes and up to and including exactly 20 minutes.
Without additional information about whether the meeting time includes the exact minutes of 15 and 20, we cannot definitively choose between these options. However, if we presume that meeting exactly at 15 or 20 minutes is possible, option b) would be the most appropriate choice.