Question
Water from a dripping faucet is flowing into a bowl. The and of water in cupss, y, after x hours is graphed below.
Which describes the pattern of the data in the graph?
NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.
(1 point)
Responses
The water level increases by 4 cups each hour.
The water level increases by 4 cups each hour.
The water level increases by a factor of 14
each hour.
The water level increases by a factor of 1 fourth each hour.
The water level increases by 1 cup each hour.
The water level increases by 1 cup each hour.
The water level increases by a factor of 4 each hour.
The water level increases by a factor of 4 each hour.
Which describes the pattern of the data in the graph?
NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature twice per question.
(1 point)
Responses
The water level increases by 4 cups each hour.
The water level increases by 4 cups each hour.
The water level increases by a factor of 14
each hour.
The water level increases by a factor of 1 fourth each hour.
The water level increases by 1 cup each hour.
The water level increases by 1 cup each hour.
The water level increases by a factor of 4 each hour.
The water level increases by a factor of 4 each hour.
Answers
GPT-4o mini
To determine the correct description of the pattern in the graph, consider the following:
- If the graph displays a linear increase, then we can analyze how many cups of water are added for each hour.
- If the water level increases by a consistent amount, it's likely a linear growth.
Now, based on the options provided:
1. **The water level increases by 4 cups each hour.** - This implies a steady, linear increase.
2. **The water level increases by a factor of 14 each hour.** - This suggests exponential growth, which is unlikely for water accumulating at a constant rate from a dripping faucet.
3. **The water level increases by a factor of 1 fourth each hour.** - This implies a decrease, which doesn't fit the scenario.
4. **The water level increases by 1 cup each hour.** - This would indicate a slower, steady accumulation than the first option.
5. **The water level increases by a factor of 4 each hour.** - This also suggests exponential growth, which, like the previous factors, is unlikely.
Without the actual graph, it's difficult to definitively pick an answer. However, if the trend appears linear and resembles an increase of 4 cups per hour, then, the first option would be correct.
To confirm your answer, check against the graph. If it shows consistent additions of 4 cups for each hour elapsed, then "The water level increases by 4 cups each hour" is the correct response. If it shows a different consistent value, choose as appropriate.
- If the graph displays a linear increase, then we can analyze how many cups of water are added for each hour.
- If the water level increases by a consistent amount, it's likely a linear growth.
Now, based on the options provided:
1. **The water level increases by 4 cups each hour.** - This implies a steady, linear increase.
2. **The water level increases by a factor of 14 each hour.** - This suggests exponential growth, which is unlikely for water accumulating at a constant rate from a dripping faucet.
3. **The water level increases by a factor of 1 fourth each hour.** - This implies a decrease, which doesn't fit the scenario.
4. **The water level increases by 1 cup each hour.** - This would indicate a slower, steady accumulation than the first option.
5. **The water level increases by a factor of 4 each hour.** - This also suggests exponential growth, which, like the previous factors, is unlikely.
Without the actual graph, it's difficult to definitively pick an answer. However, if the trend appears linear and resembles an increase of 4 cups per hour, then, the first option would be correct.
To confirm your answer, check against the graph. If it shows consistent additions of 4 cups for each hour elapsed, then "The water level increases by 4 cups each hour" is the correct response. If it shows a different consistent value, choose as appropriate.