Question

1. when you modeled the bicycle situation by using a proportional relationship, what assumptions did you make? 2. how was the bicycle situation modeled in class different from a proportional relationship? 3. if you had more time to examine another question related to the bicycle video, what question would you consider? what would your plan be to determine the answer?

Explanation:

1. When using a proportional relationship to model the bicycle situation, assumptions might include constant speed (no acceleration or deceleration), no external factors like wind - resistance or friction changes, and a linear relationship between variables such as distance and time.
2. The bicycle situation modeled in class could be different from a proportional relationship if there were non - linear elements like hills (affecting speed non - linearly), or if the relationship included an initial condition (e.g., a starting position that was not at the origin in a distance - time graph).
3. A possible question could be "How does the gear ratio affect the speed of the bicycle?" The plan to determine the answer could involve researching the mechanical relationship between gear ratio and rotational speed of the wheels, and then conducting experiments by changing gear ratios and measuring the resulting speeds.

Answer:

1. Assumed constant speed, no external factor changes, linear variable relationship.
2. Non - linear elements like hills or non - zero initial conditions.
3. Question: How does the gear ratio affect the speed of the bicycle? Plan: Research mechanical relationship and conduct experiments.