Let's start with the given equation that describes the relationship between Kelvin and Celsius temperatures:
[tex]\[ K = C + 273.15 \][/tex]
Our goal is to solve for [tex]\( C \)[/tex] (Celsius). To do this, we need to isolate the variable [tex]\( C \)[/tex] on one side of the equation. We begin by rewriting the equation to highlight the variable [tex]\( C \)[/tex].
[tex]\[ K = C + 273.15 \][/tex]
To isolate [tex]\( C \)[/tex], we need to remove the 273.15 from the right side of the equation. We do this by subtracting 273.15 from both sides of the equation:
[tex]\[ K - 273.15 = (C + 273.15) - 273.15 \][/tex]
On the right side, adding 273.15 and then subtracting 273.15 cancels out the 273.15, leaving us with:
[tex]\[ K - 273.15 = C \][/tex]
So the equation solved for [tex]\( C \)[/tex] is:
[tex]\[ C = K - 273.15 \][/tex]
Now, let's compare our derived equation with the given options:
1. [tex]\( C = K - 273.15 \)[/tex]
2. [tex]\( C = 273.15 - K \)[/tex]
3. [tex]\( C = K + 273.15 \)[/tex]
4. [tex]\( C = 273.15 K \)[/tex]
The correct equation is:
[tex]\[ C = K - 273.15 \][/tex]
So, the correct choice from the options is:
[tex]\[ \boxed{1} \][/tex]
This matches choice 1: [tex]\( C = K - 273.15 \)[/tex].
