Question

the temperature in a town is 36.6°f during the day and -12.6°f at night. what is the temperature change from day to night?

Explanation:

Step1: Recall temperature - change formula

The formula for temperature change is $\text{Change}=\text{Final temperature}-\text{Initial temperature}$. Here, the initial temperature is the day - time temperature and the final temperature is the night - time temperature.

Step2: Substitute the given values

Let the day - time temperature $T_{day}=36.6^{\circ}\text{F}$ and the night - time temperature $T_{night}=- 12.6^{\circ}\text{F}$. Then the temperature change $\Delta T=T_{night}-T_{day}$.
$\Delta T=-12.6 - 36.6$.

Step3: Calculate the result

$-12.6-36.6=-49.2^{\circ}\text{F}$. The negative sign indicates that the temperature has decreased.

Answer:

$-49.2^{\circ}\text{F}$