1.How would you describe the difference between direct variation and joint variation in words? Use examples to help illustrate.

2.Pick a field of study of interest to you and give an example of variation in that field. Some possible areas to consider are: Economics, Finance, Geometry and Physics.

Example: If your hourly pay rate is $15/hour, then your weekly pay p is given by the formula p=15h where h is the number of hours worked in a week. So, your weekly pay varies directly as the number of hours worked in a week with the constant of variation = 15.

3.Most formulas are actually examples of variation. Pick a well-known formula and describe the type of variation as well as the constant of variation, k.

Example: The area A of a triangle with base b and height h is given by the formula A=bh. So, the area of a triangle varies jointly as the base and height (both direct) with the constant of variation = .

4.Give an example from real life where composite functions are utilized.For ideas, you maylook it up on the internet or find examples in the book.