a person hiked for four hours one afternoon. the hiker walked 2 kilometers the first hour, 3 kilometers the…
a person hiked for four hours one afternoon. the hiker walked 2 kilometers the first hour, 3 kilometers the second hour, 2 kilometers the third hour, and 1 kilometer the fourth hour. which graph best represents the hikers motion?
Answer
Explanation:
Step1: Calculate total distance
The hiker walked 2 km in the first - hour, 3 km in the second hour, 2 km in the third hour, and 1 km in the fourth hour. The total distance $d=2 + 3+2 + 1=8$ km.
Step2: Analyze distance - time relationship
In the first hour, the distance increases from 0 to 2 km. In the second hour, it increases from 2 km to $2 + 3=5$ km. In the third hour, it increases from 5 km to $5 + 2 = 7$ km. In the fourth hour, it increases from 7 km to $7+1 = 8$ km. For option A, the graph does not show the correct cumulative distances at each hour mark. For option B, we note that the distance should increase in steps corresponding to the distance walked each hour. The graph in option B shows a continuous increase in distance over time, where the distance at the end of the first hour is 2 km, at the end of the second hour is $2 + 3=5$ km, at the end of the third hour is $5+2 = 7$ km and at the end of the fourth hour is $7 + 1=8$ km.
Answer:
B.