The image shows a graph that represents the
elevation above sea level (in feet) of a hiker over time (in minutes). The task is to interpret the graph and understand what it tells us about the hiker's journey.
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🔍 Graph Analysis:
-
X-axis: Time in minutes (from 0 to 60)
-
Y-axis: Elevation above sea level in feet (from 0 to 30 ft)
We can break the journey into segments based on changes in elevation:
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🚶♂️ Segment-by-Segment Breakdown:
1.
From 0 to 10 minutes:
- Elevation remains constant at
5 ft.
-
✔ The hiker is
not moving vertically — possibly walking horizontally or resting.
2.
From 10 to 20 minutes:
- Elevation increases from 5 ft to
10 ft.
-
✔ The hiker is
climbing uphill.
3.
From 20 to 30 minutes:
- Elevation stays at
10 ft.
-
✔ The hiker is
walking on flat ground at 10 ft elevation.
4.
From 30 to 40 minutes:
- Elevation decreases from 10 ft to
5 ft.
-
✔ The hiker is
descending back down.
5.
From 40 to 50 minutes:
- Elevation increases rapidly from 5 ft to
25 ft.
-
✔ The hiker is
climbing steeply — this is the steepest part of the hike.
6.
From 50 to 60 minutes:
- Elevation remains constant at
25 ft.
-
✔ The hiker reaches the top and
stops climbing, possibly resting or enjoying the view.
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📌 Key Observations:
- The
highest elevation reached is
25 feet.
- The
lowest elevation during the hike is
5 feet.
- The hiker
did not go below 5 ft at any point.
- There are
two periods of climbing (10–20 min and 40–50 min), with the second one being much
steeper.
- There are
three flat sections (0–10, 20–30, 50–60), indicating pauses or level terrain.
- The
steepest climb occurs between 40 and 50 minutes.
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🧠 Possible Question Interpretation:
Since no specific question was stated, here are common types of questions this graph might be used for:
#### Example Questions & Answers:
1.
What was the maximum elevation reached?
-
✔ 25 feet
2.
How long did the hiker stay at 10 feet?
- From 20 to 30 minutes →
10 minutes
3.
During which interval was the hiker descending?
-
✔ From
30 to 40 minutes
4.
Was the hiker moving faster during 10–20 minutes or 40–50 minutes?
- Let’s calculate rate of change:
- 10–20 min: +5 ft / 10 min =
0.5 ft/min
- 40–50 min: +20 ft / 10 min =
2 ft/min
-
✔ Faster during
40–50 minutes
5.
Did the hiker return to the starting elevation?
- Starting elevation = 5 ft
- Final elevation = 25 ft →
✘ No, the hiker ended higher.
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✔ Summary:
This graph illustrates a
hiking journey with:
- Two climbs,
- One descent,
- Three flat periods,
- A final high point at
25 ft after a steep climb.
If you have a specific question about this graph (e.g., "What was the average rate of climb?" or "When was the hiker moving fastest?"), feel free to ask!
Parent Tip: Review the logic above to help your child master the concept of graphing stories worksheet.