For this Critical Thinking Assignment, you will be creating your own related rates problem.

Part I: Complete the following steps:

1. Select a context for your problem. (Ex. A problem involving two cars moving in different directions.)
2. Write you related rates problem.
3. Solve your related rates problem.

Part II: Based on your work in Part I, discuss the following:

1. What considerations did you have when selecting a context?
2. List the restrictions (if any) for the context that a related rates problem can have.
3. How can you check that you have provided all necessary information required to solve your problem?
4. What variables are related? How are those variables related?
5. What challenges do you foresee a student having when attempting to solve your problem?
6. Did you catch any errors in how you set up the problem while attempting to solve it?
7. Discuss any insight you gained about related rates problems from creating your own.
8. Change one aspect of your problem statement to increase its difficulty level. Then discuss how this change made the problem more challenging.
9. Would it be possible to have a related rates problem with two unknown rates?
10. Provide at least two other real-world situations that involve related rates and respond to the following:
    1. What common characteristics do the real-world scenarios you chose share?
    2. What did you look for in the way that the real-world scenario can be modeled?