To determine which statements are true, we first need to evaluate Velma's speed based on the equation \( y = 4x \). This means that for every minute (x) that Velma races, she covers 4 meters (y). Thus, Velma's speed is 4 meters per minute.
Next, we need to analyze Justine's distance-time graph (though I can't see the graph, I'll guide you on how to interpret it). You would look for the slope of Justine's line on the graph. The slope represents the distance per unit of time (meters per minute) that Justine is racing.
- If the slope of Justine's graph is 4 meters per minute, then Justine and Velma have the same speed.
- If the slope of Justine's graph is greater than 4 meters per minute, Justine moves a greater distance than Velma each minute, meaning she is faster than Velma.
- If the slope of Justine's graph is less than 4 meters per minute, Justine moves a shorter distance than Velma each minute, meaning she is slower than Velma.
Now, based on these interpretations:
- Justine is twice as fast as Velma. (True if Justine's speed = 8 m/min)
- Justine is half as fast as Velma. (True if Justine's speed = 2 m/min)
- Justine and Velma have the same speed. (True if Justine's speed = 4 m/min)
- Justine moves a greater distance than Velma each minute. (True if Justine's speed > 4 m/min)
- Justine moves a shorter distance than Velma each minute. (True if Justine's speed < 4 m/min)
Summarizing, you would need to compare the slope of Justine's line from the graph to Velma's speed of 4 m/min to determine which two statements are true.