Ask a New Question
Menu

Green Foot and Slappy are turtles participating in a turtle race. The graph and function above show the speed of each turtle during the race. According to the data above, which turtle ran the race the fastest?

A Green Foot was faster than Slappy.Green Foot was faster than Slappy.
B Slappy was faster than Green Foot.Slappy was faster than Green Foot.
C Not enough informationNot enough information
D Green Foot and Slappy ran the race at the same speed.

This is how the graph is described. Green foot graph has a zero at the bottom but a red going across the zero but not straight like left but take the line and go diagonally to the right. That's the line the zero is on the left side on the graph on the Distance (in feet) side but at the end of the line there is one number at the bottom on the graph it is time (in minutes) that goes from 1-6 but at the end on the red line there is no number up under it. On the left side of the graph where the Distance (in feet) is the side number goes 10,20,30,40,50,60,70, and then it stops.

Slappy
y = 5x
x = time in minutes
y = distance in feet

1 answer

Based on the provided information, we can analyze the speeds of both turtles, Green Foot and Slappy.

  1. Slappy's Speed Function: The equation given for Slappy is \( y = 5x \), which means Slappy runs at a constant speed of 5 feet per minute. This is linear, and for any time \( x \), his distance traveled \( y \) can be calculated.

  2. Green Foot's Speed Graph: Although the exact equation for Green Foot's speed is not provided, you have described a graph that begins at 0 and has a diagonal line going to the right. The specific angle or slope from that description suggests that Green Foot's speed is likely increasing over time. Since the graph is diagonal, it indicates some form of speed, but without the slope or endpoint value, we can't quantify it directly.

Conclusion:

To determine which turtle was faster, we need to compare their speeds. Slappy's speed is clear at 5 feet per minute.

Since Green Foot's speed is only provided graphically and without specific information about its maximum distance or speed at a certain time, we cannot conclude definitively whether Green Foot is faster than Slappy without additional data points or a specific equation.

Given these points, the available options can be evaluated:

  • A: Green Foot was faster than Slappy. (Cannot confirm without more data)
  • B: Slappy was faster than Green Foot. (Cannot confirm without more data)
  • C: Not enough information. (This is a strong candidate since the data for Green Foot is vague)
  • D: Green Foot and Slappy ran the race at the same speed. (Cannot confirm without more data)

Final Answer:

C: Not enough information - We cannot determine who ran the race the fastest based on the provided data and graph description.