To determine which table could represent Relationship B with a greater rate of temperature increase compared to Relationship A, we should analyze the temperature increases in Relationship A and then see which option has steeper increases.
Let's look at the temperature changes in Relationship A:
- From 1 to 3 minutes: \( 58.4 - 53.6 = 4.8 \) °C
- From 3 to 8 minutes: \( 70.4 - 58.4 = 12.0 \) °C
- From 8 to 9 minutes: \( 72.8 - 70.4 = 2.4 \) °C
Now, let's evaluate the temperature changes for each of the proposed tables for Relationship B:
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First Option:
- From 1 to 3 minutes: \( 59.0 - 54.2 = 4.8 \) °C
- From 3 to 8 minutes: \( 71.0 - 59.0 = 12.0 \) °C
- From 8 to 9 minutes: \( 73.4 - 71.0 = 2.4 \) °C
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Second Option:
- From 1 to 3 minutes: \( 56.5 - 51.5 = 5.0 \) °C
- From 3 to 8 minutes: \( 69.0 - 56.5 = 12.5 \) °C
- From 8 to 9 minutes: \( 71.5 - 69.0 = 2.5 \) °C
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Third Option:
- From 1 to 3 minutes: \( 58.1 - 53.7 = 4.4 \) °C
- From 3 to 8 minutes: \( 69.1 - 58.1 = 11.0 \) °C
- From 8 to 9 minutes: \( 71.3 - 69.1 = 2.2 \) °C
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Fourth Option:
- From 1 to 3 minutes: \( 59.0 - 54.4 = 4.6 \) °C
- From 3 to 8 minutes: \( 70.5 - 59.0 = 11.5 \) °C
- From 8 to 9 minutes: \( 72.8 - 70.5 = 2.3 \) °C
Looking at these calculations, the second option shows a slightly higher rate of temperature increase from 3 to 8 minutes (12.5 °C compared to 12.0 °C in Relationship A), indicating greater cooking efficiency. Thus, the correct table that could represent Relationship B is:
Time (min) | 1 | 3 | 8 | 9 --- | --- | --- | --- | --- Temperature (°C) | 51.5 | 56.5 | 69.0 | 71.5
2 answers