Question

reading qualitative graphs: describe what is happening in each graph.
1.

2.

3.

4.

Explanation:

1. Hiking Trip Graph (Altitude vs. Time)

• Initially, altitude increases slowly (start of hike, gradual ascent).
• Then, a steeper increase (faster ascent).
• A flat segment (resting or walking on flat terrain).
• Another steeper increase (climbing a peak).
• A flat segment (at the peak, resting).
• A steep decrease (descending from the peak).
• A less steep decrease (descending a bit slower).
• Finally, a steep decrease to zero (reaching the starting point or end of hike).

• Balance is constant initially (no transactions).
• Then, it increases (income or deposit).
• A flat segment (no transactions, holding balance).
• A steep decrease (large expense or withdrawal).
• Finally, balance remains constant (no further transactions).

• Amount of popcorn decreases steeply initially (fast consumption).
• Then, it remains constant (pause in eating).
• Finally, it decreases steeply to zero (finishing the popcorn).

Answer:

1. Altitude starts increasing slowly.
2. Altitude increases more steeply.
3. Altitude remains constant (rest/flat terrain).
4. Altitude increases steeply (climbing peak).
5. Altitude remains constant (at peak).
6. Altitude decreases steeply (descending peak).
7. Altitude decreases less steeply.
8. Altitude decreases steeply to zero (end hike).

2. Money Graph (Balance vs. Time)