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Can you connect the points with one straight line that passes through the origin?
Yes, see solution.
Before we begin, let's create a table of values using the information from the exercise.
| Time | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Distance | 8 | 16 | 24 | 32 |
To know if the data given in the table represents a proportional relationship, let's first plot the points as (x,y) coordinate pairs.
Next, we will connect the points we graphed and extend the line to the y-axis. Recall that the graph of a proportional relationship is a single, straight line in the coordinate plane that passes through the origin.
As we can see, the line passes through the origin and is a straight line. Therefore, the distance Damon runs is proportional to the number of seconds he runs.
