Question
Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below.
Which describes the pattern of the data in the graph?
(1 point)
Responses
The water level increases by 1 inch each hour.
The water level increases by 1 inch each hour.
The water level increases by a factor of 12
each hour.
The water level increases by a factor of 1 half each hour.
The water level increases by a factor of 2 each hour.
The water level increases by a factor of 2 each hour.
The water level increases by 2 inches each hour.
The water level increases by 2 inches each hour.
Which describes the pattern of the data in the graph?
(1 point)
Responses
The water level increases by 1 inch each hour.
The water level increases by 1 inch each hour.
The water level increases by a factor of 12
each hour.
The water level increases by a factor of 1 half each hour.
The water level increases by a factor of 2 each hour.
The water level increases by a factor of 2 each hour.
The water level increases by 2 inches each hour.
The water level increases by 2 inches each hour.
Answers
GPT-4o mini
To determine which description accurately reflects the pattern of the data in the graph, the key is to look for how the height of the water in the cup changes over time (x hours).
1. **The water level increases by 1 inch each hour.** - This suggests a linear increase.
2. **The water level increases by a factor of 12 each hour.** - This implies exponential growth, which is unlikely for a dripping faucet.
3. **The water level increases by a factor of 1 half each hour.** - This suggests a decrease over time, which is not consistent with a leaking faucet scenario.
4. **The water level increases by a factor of 2 each hour.** - This also suggests exponential growth.
5. **The water level increases by 2 inches each hour.** - Similar to option 1 but indicates a larger constant increase.
From the options provided, if the water level is increasing consistently at a rate, you can look for a constant addition (like 1 inch) or a specific amount (like 2 inches).
If the graph shows a straight line, the correct answer would be the first option:
**"The water level increases by 1 inch each hour."**
If it shows a steeper line indicating a faster increase but still a constant rate, the answer could be:
**"The water level increases by 2 inches each hour."**
Choose the option that visually best matches the graph you see. If the height increases consistently, a linear increase is likely the best pick, while if the graph suggests a more significant increase per hour, then that would guide your choice.
1. **The water level increases by 1 inch each hour.** - This suggests a linear increase.
2. **The water level increases by a factor of 12 each hour.** - This implies exponential growth, which is unlikely for a dripping faucet.
3. **The water level increases by a factor of 1 half each hour.** - This suggests a decrease over time, which is not consistent with a leaking faucet scenario.
4. **The water level increases by a factor of 2 each hour.** - This also suggests exponential growth.
5. **The water level increases by 2 inches each hour.** - Similar to option 1 but indicates a larger constant increase.
From the options provided, if the water level is increasing consistently at a rate, you can look for a constant addition (like 1 inch) or a specific amount (like 2 inches).
If the graph shows a straight line, the correct answer would be the first option:
**"The water level increases by 1 inch each hour."**
If it shows a steeper line indicating a faster increase but still a constant rate, the answer could be:
**"The water level increases by 2 inches each hour."**
Choose the option that visually best matches the graph you see. If the height increases consistently, a linear increase is likely the best pick, while if the graph suggests a more significant increase per hour, then that would guide your choice.