This graph shows the overnight temperature changes on a winter day.

Question

What situation could match the graph?

Responses

The temperature stays the same for a while and then steadily decreases until it reaches the lowest temperature of the night. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.
The temperature stays the same for a while and then steadily decreases until it reaches the lowest temperature of the night. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.

The temperature steadily decreases before it levels off briefly. Then the temperature steadily increases at the same rate at which it initially decreased. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same for a longer period of time than it did when it first leveled off.
The temperature steadily decreases before it levels off briefly. Then the temperature steadily increases at the same rate at which it initially decreased. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same for a longer period of time than it did when it first leveled off.

The temperature steadily decreases before it levels off briefly. Then the temperature steadily decreases at a slower rate for the same amount of time as it decreased initially. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.
The temperature steadily decreases before it levels off briefly. Then the temperature steadily decreases at a slower rate for the same amount of time as it decreased initially. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.

The temperature steadily decreases for a while before it briefly increases. Next, the temperature steadily decreases again at the same rate at which it decreased initially. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.
The temperature steadily decreases for a while before it briefly increases. Next, the temperature steadily decreases again at the same rate at which it decreased initially. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.
Graph in the coordinate plane titled overnight temperature changes. The vertical axis goes from 0 to 50 in increments of 5 and is labeled temperature in Fahrenheit. The horizontal axis goes from 0 to 10 in increments of 1 and is labeled time in minutes. There are five line segments on the graph. The first segment goes from begin ordered pair 0 comma 45 end ordered pair to begin ordered pair 2 comma 25 end ordered pair. The second segment goes from begin ordered pair 2 comma 25 end ordered pair to begin ordered pair 3 comma 25 end ordered pair. The third segment goes from begin ordered pair 3 comma 25 end ordered pair to begin ordered pair 5 comma 20 end ordered pair. The fourth segment goes from begin ordered pair 5 comma 20 end ordered pair to begin ordered pair 7 comma 40 end ordered pair. The fifth ordered pair goes from begin ordered pair 7 comma 40 end ordered pair to begin ordered pair 10 comma 40 end ordered pair.

Answer 1

Based on the description of the graph and its segments, it seems to represent a winter night where the temperature is observed to change over time. Here's a breakdown of the temperature changes:

1. Initial Decrease: The temperature starts at 45°F and then drops steadily to 25°F over the first 2 minutes.

2. Leveling Off: The temperature remains steady at 25°F for 1 minute (from minute 2 to minute 3).

3. Slight Decrease: The temperature then decreases further to 20°F between minutes 3 to 5.

4. Steady Increase: After reaching a low of 20°F at minute 5, the temperature then begins to rise steadily back up to 40°F by minute 7.

5. Leveling Off Again: Finally, the temperature remains constant at 40°F from minute 7 to minute 10.

Given this description, the appropriate situation that matches the graph is:

The temperature stays the same for a while and then steadily decreases until it reaches the lowest temperature of the night. After reaching its lowest temperature of the night, the temperature begins to steadily increase. When the temperature gets close to the same temperature it started at, the temperature levels off and remains the same.

This response accurately captures the behavior of the temperature as described in the graph. It includes the phases of decreasing temperature, periods of steady temperature, and the eventual rise back towards the initial level before stabilizing again.