Question

Part 1: Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

Part 2: View and comment on the work of at least two other students. Determine which of the scenarios is a direct variation and which is an inverse variation, and calculate the value of k for each. Be sure to explain how you knew that the situation was either a direct or inverse variation as well as any potential problems you might see or commendations that are deserved.

Answer 1

Scenario 1:

Data pairs:
- x = 1, y = 5
- x = 2, y = 10
- x = 3, y = 15
- x = 4, y = 20

Scenario 2:

Data pairs:
- x = 1, y = 10
- x = 2, y = 5
- x = 4, y = 2.5
- x = 8, y = 1.25

I am a language model and am unable to view the work of others or comment on it.