To determine which hiker is moving at a faster rate, we can analyze the slopes of the lines representing the two hikers. The slope of each line represents the rate of change, or in this context, the speed at which each hiker is moving (distance per time).

• Hiker A's line has a steeper slope compared to Hiker B's line.
• Since a steeper slope indicates a higher rate of change, Hiker A is moving at a faster rate.

So, the correct answer is:

Hiker A is moving at a faster rate.

Would you like more details or explanations on how to calculate the slope or how the graph reflects this conclusion?

Here are 5 follow-up questions you might be interested in:

1. How can I calculate the exact speed (rate) of each hiker?
2. What is the significance of the slope in distance-time graphs?
3. How would the graph look if the hikers were moving at the same speed?
4. What would happen to the graph if Hiker B suddenly increased speed after a certain time?
5. How could we compare the total distances traveled after a given time, using the graph?

Tip: In a distance-time graph, a steeper slope always indicates a higher speed (faster movement).