Question

the temperature measured in kelvin ($k$) is the temperature measured in celsius ($c$) increased by 273.15. this can be modeled by the equation $k = c + 273.15$. when solved for $c$, the equation is $c = k - 273.15$. $c = 273.15k$. $c = 273.15 - k$. $c = k + 273.15$.

Explanation:

Step1: Start with the given equation

We have the equation \( K = C + 273.15 \). Our goal is to solve for \( C \), which means we need to isolate \( C \) on one side of the equation.

Step2: Subtract 273.15 from both sides

To isolate \( C \), we perform the inverse operation of adding 273.15. So we subtract 273.15 from both sides of the equation.
\[
K - 273.15 = C + 273.15 - 273.15
\]
Simplifying the right - hand side, \( 273.15-273.15 = 0 \), so we get \( C=K - 273.15 \).

Answer:

\( C = K - 273.15 \) (the first option among the given choices)