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Question
brady jogs laps around a circular park with a fountain at the center. which table could represent bradys distance from the fountain after jogging around the path for a number of minutes? time distance (feet) 0 50 2 60 4 70 6 80 8 100 time distance (feet) 0 50 2 60 4 70 6 60 8 50 time distance (feet) 0 50 2 50 4 50 6 50 8 50 time distance (feet) 0 50 2 40 4 30 6 20 8 10
Step1: Recall circle property
In a circular - shaped park with a fountain at the center, the distance from the center (fountain) to any point on the circular path is the radius of the circle. The radius of a circle is a constant value.
Step2: Analyze tables
We need to find a table where the distance from the fountain (center) remains the same over time as Brady jogs around the circular path.
- In the first table, the distance values are 50, 60, 70, 80, 100 which are changing.
- In the second table, the distance values are 50, 60, 70, 60, 50 which are changing.
- In the third table, the distance value is constantly 50 for all time - values 0, 2, 4, 6, 8.
- In the fourth table, the distance values are 50, 40, 30, 20, 10 which are changing.
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The third table (where time values are 0, 2, 4, 6, 8 and distance values are all 50) could represent Brady's distance from the fountain.