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15.ps - 19 challenge the temperatures at sunrise and sunset are shown i…

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- 9.4422.03

what was the temperature change on day 1?
enter your answer in the answer box and then click check answer.
2 parts remaining

Explanation:

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.

Answer:

The temperature change on Day 1 was $30.47^{\circ}C$. The temperature change was most on Day 2.