Case Scenario:
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
Scenario or background of course/task
You are a writing a feature article for a youth publication. The article is titled: "Careers in Math". The purpose is to help freshmen college students discover what types of careers are available within mathematics. In addition to being published, this article will be given to attendees as a handout in workshops for career exploration. As part of the research for the project, you have decided to interview various professionals and other workers who will provide examples utilizing pre-calculus in their businesses. You'll even try to solve the examples they give you, to add relevance to your article.
Task
After contacting all of the professionals, you set up a "blog" (weblog) for you and them to share. You'll use this "blog" as the weeks go by to ask the group questions, raise issues for discussion and encourage networking among this diverse group.
You decide to start your article with a math example that the readers can understand. Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing. What would be the difficulties associated with modeling this situation?
Provide complete and step by step solution for the question and show calculations and use formulas.