Question

hikers distance-time graph
average speed = (total distance)/(total time)
what is the average speed of the hiker during the entire trip? use the formula above to calculate average speed.

Explanation:

Step1: Determine Total Distance

From the graph, the final distance (total distance) is 22.5 units (assuming the y - axis is distance in kilometers or miles, and the last point on the graph is at 22.5).

Step2: Determine Total Time

The total time from the x - axis (time in hours) is 9 hours (since the last time value on the x - axis is 9).

Step3: Apply Average Speed Formula

The formula for average speed is $Average\ Speed=\frac{Total\ Distance}{Total\ Time}$. Substitute total distance = 22.5 and total time = 9 into the formula. So, $Average\ Speed=\frac{22.5}{9}=2.5$.

Answer:

The average speed of the hiker during the entire trip is 2.5 units per hour (the unit depends on the distance unit of the graph, e.g., km/h or mi/h).