Final answer:
In high school mathematics, when determining customer arrival rates for scheduling purposes, the average interval between arrivals is crucial. For a store expecting 30 customers per hour, one customer arrives every two minutes, and therefore it would take six minutes on average for three customers to arrive after the store opens.
Step-by-step explanation:
Understanding Customer Arrival Times
When analyzing the customer arrival times for a store, it is essential to consider the average rate at which customers enter the business. This rate can be deduced from given data or established through observation and forms the basis for creating schedules and predicting demand. For instance, in a scenario where a business expects 30 customers per hour, it implies that there is an average of one customer arrival every two minutes. This rate helps in determining the intervals between customer arrivals and managing store operations efficiently.
Schedule Creation Example
In the specific case of Mr. Baskins, manager of Tom and Jerry's Ice Cream Shoppe, he would need to create a schedule that can accommodate a customer every two minutes to meet demand and guarantee excellent service. Using the rate at which customers are expected to arrive, he can schedule enough servers to ensure that no customer waits too long for service.
Moreover, when the store first opens, the average time for three customers to arrive is calculated based on the two-minute interval, resulting in six minutes on average. Therefore, Mr. Baskins should prepare his staff schedules accordingly to meet this initial rush.