From 12:00 midnight to [tex]6:00 \, \text{am}[/tex], the temperature decreased by [tex]12^{\circ} \text{C}[/tex]. If the original temperature was [tex]12^{\circ} \text{C}[/tex], which expression can be used to represent this situation?

A. [tex]12 - 12[/tex]
B. [tex]12 + 12[/tex]
C. [tex]12 - (-12)[/tex]
D. [tex]-12 + (-12)[/tex]



Answer :

Certainly! Let's break down the situation step by step.

1. Understanding the initial condition:
- The original temperature at midnight is [tex]\(12^{\circ}C\)[/tex].

2. Understanding the change in temperature:
- From midnight to [tex]\(6:00\)[/tex] AM, the temperature decreases by [tex]\(12^{\circ}C\)[/tex].

3. Representing the decrease in temperature:
- Temperature decrease is a subtraction operation, so we need to subtract [tex]\(12^{\circ}C\)[/tex] from the initial temperature.

4. Setting up the expression:
- To find the temperature at [tex]\(6:00\)[/tex] AM, we subtract the decrease from the original temperature:
[tex]\[ 12 - 12 \][/tex]

5. Evaluating the expression:
- The expression [tex]\(12 - 12\)[/tex] represents the temperature at [tex]\(6:00\)[/tex] AM after the decrease:
[tex]\[ 12 - 12 = 0 \][/tex]

Therefore, the correct expression that represents the situation is:
[tex]\[ \boxed{12 - 12} \][/tex]

Hence, the correct answer is:
[tex]\[ \text{A. } 12 - 12 \][/tex]