Answer
The algebraic expression for the domain $\left( 174400,379150 \right)$ is $T\left( x \right)=42449+0.33\left( x-174400 \right)$.
Work Step by Step
From the pattern of the piecewise function, it can be concluded that the algebraic expression for the function $T\left( x \right)$ for domain $\left( 174400,379150 \right)$ is $T\left( x \right)=42449+0.33\left( x-174400 \right)$.
