You cannot use this graph to represent the speeds of Alina, Diego, and Kala because the slopes of the lines on the graph, which represent their speeds, do not match the relationships stated in the problem. Here’s the reasoning:

1. Given Relationships:

   • Alina runs twice as fast as Diego.
   • Diego runs twice as fast as Kala.
     This means Alina’s speed should be 4 times Kala’s speed.

2. Speed and Slope:

   • On a distance-time graph, the slope of a line indicates the speed.
   • A steeper line corresponds to a higher speed.

3. Graph Analysis:

   • Alina's line has the steepest slope.
   • Diego's line is less steep than Alina's but steeper than Kaia's.
   • Kaia's line has the smallest slope.

However, the graph does not show the precise 2:1 and 4:1 relationships between the slopes:

• Diego’s slope should be exactly half of Alina’s.
• Kaia’s slope should be exactly half of Diego’s.

The lines on this graph appear closer together and do not represent these specific speed ratios accurately.

Conclusion:

Since the slopes (speeds) in this graph do not follow the twice as fast and four times as fast relationships described, this graph cannot correctly represent the speeds of Alina, Diego, and Kala.

Would you like a step-by-step breakdown of speed ratios and slope relationships?

Related Questions:

1. What does the slope of a distance-time graph represent?
2. How can you determine relative speeds from a graph?
3. What would the graph look like if Alina’s speed was exactly four times Kaia’s speed?
4. How do you calculate speed given distance and time?
5. What is the relationship between line steepness and speed?

Tip:

Always check the ratios of slopes on a graph when comparing speeds, as they directly reflect the relationships between the rates.