Question

1. in the following scenario, identify the independent and dependent variables:
2. the speed of the runner \ta. dependent
3. the time it takes to run a mile \tb. independent

Explanation:

• The independent variable is the one that is changed or controlled in a scientific experiment. The dependent variable is the one that is measured and depends on the independent variable.
• In the context of running a mile, the speed of the runner (\(v\)) affects the time (\(t\)) it takes to run the mile. The formula for time is \(t=\frac{d}{v}\) (where \(d\) is the distance, a constant in this case as the distance is one mile). So, the speed is the factor that can be changed (independent), and the time is what is affected (dependent).

Answer:

1. b. Independent
2. a. Dependent