Megan graphed the distance, y , traveled by 2 runners in x seconds. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Runner 1 has traveled Response area feet after 6 seconds. Runner 2 has traveled 10 feet after Response area seconds. If traveling a distance of 100 feet in a race, Response area would win the race.

1 answer

To answer the question, we first need to determine how far Runner 1 has traveled after 6 seconds, how long it takes for Runner 2 to travel 10 feet, and then determine which runner would win a race traveling a distance of 100 feet.

  1. Runner 1's distance after 6 seconds: Assuming that this was provided in the graph, we'll need that value to fill it into the first response area. For the sake of this example, let’s say Runner 1 has traveled 60 feet after 6 seconds.

  2. Runner 2's time to travel 10 feet: Again, we need the information from the graph. Let’s assume it takes Runner 2 5 seconds to travel 10 feet.

  3. Winner of the race: To figure out who would win, we can find out how long it takes each runner to travel 100 feet based on their rates of speed derived from the data.

    • For Runner 1, whose rate can be calculated based on the distance traveled in the given time (60 feet in 6 seconds = 10 feet/second), traveling 100 feet would take 10 seconds.
    • For Runner 2, whose rate can be calculated from the information above (10 feet in 5 seconds = 2 feet/second), traveling 100 feet would take 50 seconds.

Thus, Runner 1 would win the race.

Here’s how the responses fit:

  1. Runner 1 has traveled 60 feet after 6 seconds. (first response area)
  2. Runner 2 has traveled 10 feet after 5 seconds. (second response area)
  3. Runner 1 would win the race. (third response area)

So the filled input areas would look like this:

  • Distance for Runner 1 after 6 seconds: 60
  • Time for Runner 2 to travel 10 feet: 5
  • Winner of the race: Runner 1