Science: data representation and defensible extrapolation
ACT Topic 28 10:31 English narration · English + 中文 subtitles burned in
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Transcript
A rate of change compares output change with the matching input interval.
变化率将输出量的变化与对应的输入区间进行比较。
r equals delta T divided by delta t, which is 32 minus 28 degrees Celsius, all over 4 minus 2 minutes, equaling 2 degrees Celsius per minute.
r 等于 delta T 除以 delta t，即 32 减 28 摄氏度，除以 4 减 2 分钟，结果为 2 摄氏度每分钟。
A rising temperature can have a falling rate.
温度上升时，变化率也可能下降。
Read units before calculating.
计算前请先阅读单位。
Read this part of the original context.
请阅读这段原始背景材料。
Retain it for the questions that follow.
后续问题将基于此内容，请保留该信息。
Read this part of the original context.
阅读这段原始文本。
Retain it for the questions that follow.
请保留该部分内容，以便回答后续问题。
Read this part of the original context.
阅读这段原文内容。
Retain it for the questions that follow.
请保留该部分内容，以便回答后续问题。
Read this part of the original context.
请阅读这段原始材料。
Retain it for the questions that follow.
请保留该部分内容，以便回答后续问题。
Read this part of the original context.
阅读这段原始文本。
Retain it for the questions that follow.
请保留该部分内容，以便回答后续问题。
Read this part of the original context.
请阅读原始材料的这一部分。
Retain it for the questions that follow.
保留该部分内容，以便回答后续问题。
Read this part of the original context.
阅读这段原始文本。
Retain it for the questions that follow.
请保留该部分内容，以备后续题目使用。
Read this part of the original context.
阅读这段原始文本。
Retain it for the questions that follow.
请保留该部分内容，以回答后续问题。
Read this part of the original context.
请阅读原始材料的这一部分。
Retain it for the questions that follow.
请保留该信息，以便回答后续问题。
Pause here and attempt the task before revealing the reasoning.
请先暂停，完成这道原创练习再继续。
Use the full context on the preceding pages.
请结合前几页的完整背景信息。
The first rate is 28 minus 22, over 2, which is 3; the second is 32 minus 28, over 2, which is 2; the third is 34 minus 32, over 2, which is 1, all in degrees Celsius per minute.
第一段的变化率是二十八减二十二除以二，等于三；第二段是三十二减二十八除以二，等于二；第三段是三十四减三十二除以二，等于一，单位都是摄氏度每分钟。
The temperature rises throughout, while these interval-average rates decrease.
温度一直在上升，而这些区间平均变化率在下降。
This does not specify every instantaneous rate.
这并没有确定每一时刻的瞬时变化率。
Pause here and attempt the task before revealing the reasoning.
请先暂停，完成这道原创练习再继续。
Use the full context on the preceding pages.
使用前面页面的完整背景信息。
Interpolating, T of 3 is 28 degrees plus 3 minus 2 over 4 minus 2, times 32 minus 28 degrees, which is 30 degrees Celsius.
用插值，T(3) 等于二十八度，加上三减二除以四减二，再乘三十二减二十八度，等于三十摄氏度。
The first-slope model gives T of 6 equals 22 degrees plus 3 degrees per minute times 6 minutes, which is 40 degrees, above the observed 34.
按第一段斜率的模型，T(6) 等于二十二度加每分钟三度乘六分钟，等于四十度，高于观测到的三十四度。
A constant early rate is inconsistent with the whole series.
早期的恒定速率与整个数据序列不一致。
Pause here and attempt the task before revealing the reasoning.
请先暂停，完成这道原创练习再继续。
Use the full context on the preceding pages.
请利用前几页的完整背景信息。
It is extrapolated beyond 0–6 minutes.
它外推到了零到六分钟之外。
A rising curve can flatten, and the measured average rates already decline.
上升的曲线可能会变平，而且测得的平均变化率已经在下降。
Predicting minute 12 needs a stated model and additional evidence; temperature direction alone does not fix rate or long-term behaviour.
要预测第十二分钟，需要一个明确说明的模型和更多证据；仅凭温度的变化方向，无法确定变化率或长期行为。
Return to the task and explain why the method fits.
回到任务中，解释该方法为何适用。
Original practice does not predict an official score.
原始练习无法预测官方分数。
Complete required live or recorded evidence separately.
请单独完成所需的现场或录制证据。
Pause and test yourself. Cover the worked answer, rebuild the answer to the last example in your own words, and name one condition that would change it before you check.
暂停一下，自我检测：遮住示范答案，用自己的话重做最后一个例子的答案，并在核对之前说出一个会改变结论的条件。