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?

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

1 answer

To determine which statements are true, we first analyze Velma's equation:

  1. Velma's Distance: The equation \( y = 4x \) shows that Velma covers 4 meters for every 1 minute of racing. Therefore, her speed is 4 meters per minute.

Next, we will need to analyze Justine's graph to find her speed.

  • If Justine's graph shows a linear relationship where the distance increases at a certain rate over time, we need to determine that rate (slope).

Assuming Justine's graph indicates that she covers a certain distance (let's say \( d \) meters) in a certain amount of time (let's say \( t \) minutes), we can calculate her speed as follows:

\[ \text{Justine's Speed} = \frac{d}{t} \text{ meters per minute} \]

Now, based on the comparison of speeds, we can evaluate the statements:

  • If Justine's speed is 8 m/min:

    • Statement A would be true (Justine is twice as fast as Velma).
  • If Justine's speed is 2 m/min:

    • Statement B would be true (Justine is half as fast as Velma).
  • If Justine's speed is 4 m/min:

    • Statement C would be true (Justine and Velma have the same speed).
  • If Justine's speed > 4 m/min:

    • Statement D would be true (Justine moves a greater distance than Velma each minute).
  • If Justine's speed < 4 m/min:

    • Statement E would be true (Justine moves a shorter distance than Velma each minute).

Without specific data from the graph, we can’t definitively select the true statements. However, once you identify Justine's distance (d) and time (t) from the graph to calculate her speed, you will be able to appropriately determine which of the statements A, B, C, D, or E are true based on the comparison with Velma's speed (4 m/min).

If you can provide the details from Justine's graph (e.g., distance and time), I can give a more specific analysis!

Similar Questions
  1. Two turtles, Velma and Justine, were entered into a race.The equation y = 4x represents Velma's distance in meters, y, after
    1. answers icon 9 answers
    1. answers icon 1 answer
  2. Two turtles, Velma and Justine, were entered into a race.The equation y = 4x represents Velma's distance in meters, y, after
    1. answers icon 1 answer
  3. Two turtles, Velma and Justine, were entered into a race.The equation y = 4x represents Velma's distance in meters, y, after
    1. answers icon 1 answer
more similar questions