Ask a New Question
Menu

Two turtles, Velma and Justine, were entered into a race.

The equation y = 4x represents Velma's distance in meters, y, after racing for x minutes. The graph below displays Justine's distance and time.

Based on the equation and graph, which two statements below are true?

Justine is twice as fast as Velma.
Justine is half as fast as Velma.
Justine and Velma have the same speed.
Justine moves a greater distance than Velma each minute.
Justine moves a shorter distance than Velma each minute.

1 answer

To evaluate the statements regarding the speeds of Velma and Justine, let's analyze Velma's speed first. The equation \(y = 4x\) indicates that Velma travels 4 meters for every minute of the race, which means her speed is 4 meters per minute.

Next, to assess Justine's speed, we need to look at her distance over time on the graph. Since I can't see the graph, I'll guide you on how to analyze it:

  1. Determine the distance Justine travels at certain time intervals from the graph.
  2. Calculate her speed by finding the slope, which is the change in distance over the change in time (meters per minute).

Now we can evaluate the statements:

  1. "Justine is twice as fast as Velma."
  2. "Justine is half as fast as Velma."
  3. "Justine and Velma have the same speed."
  4. "Justine moves a greater distance than Velma each minute."
  5. "Justine moves a shorter distance than Velma each minute."

After calculating Justine's speed:

  • If Justine's speed is 8 meters per minute, the correct statements would be:

    • "Justine is twice as fast as Velma." (True)
    • "Justine moves a greater distance than Velma each minute." (True)

  • If Justine's speed is 2 meters per minute, the following would be true:

    • "Justine is half as fast as Velma." (True)
    • "Justine moves a shorter distance than Velma each minute." (True)

  • If Justine's speed is exactly 4 meters per minute:

    • "Justine and Velma have the same speed." (True)

So, the true statements depend on the value of Justine's speed derived from the graph. Please check the graph to determine Justine's speed, and then you can conclude which statements are true.