QUESTION IMAGE
Question
15.ps - 19
challenge the temperatures at sunrise and sunset are shown in the table. what was the temperature change on each day? on which day did the temperature change the most?
daily temperatures
| temperature at sunrise (°c) | temperature at sunset (°c) | |
|---|---|---|
| day 2 | - 9.44 | 22.03 |
what was the temperature change on day 1?
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2 parts remaining
Step1: Recall temperature - change formula
The temperature change $\Delta T$ is given by the formula $\Delta T=T_{sunset}-T_{sunrise}$.
Step2: Calculate temperature change for Day 1
For Day 1, $T_{sunrise}=- 13.38^{\circ}C$ and $T_{sunset}=17.09^{\circ}C$. So, $\Delta T_1=17.09-(-13.38)$. Using the rule $a - (-b)=a + b$, we have $\Delta T_1=17.09 + 13.38=30.47^{\circ}C$.
Step3: Calculate temperature change for Day 2
For Day 2, $T_{sunrise}=-9.44^{\circ}C$ and $T_{sunset}=22.03^{\circ}C$. So, $\Delta T_2=22.03-(-9.44)=22.03 + 9.44 = 31.47^{\circ}C$.
Step4: Compare the temperature - changes
Since $30.47^{\circ}C<31.47^{\circ}C$, the temperature change was most on Day 2.
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The temperature change on Day 1 was $30.47^{\circ}C$. The temperature change was most on Day 2.