Solve for the indicated variable. $L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }$ for $T$
A) $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } + T _ { 0 } \right)$
B) $T = \frac { 1 } { \alpha } \left( L - L _ { 0 } \right) + T _ { 0 }$
C) $T = \alpha \left( L - L _ { 0 } \right) + T _ { 0 }$
D) $T = \frac { L } { \alpha } - L _ { 0 } + T _ { 0 }$

Question

Quizplus · Accepted Answer

To solve for $T$, first subtract $L_0$ from both sides to get $L - L_0 = \alpha(T - T_0)$. Then, divide both sides by $\alpha$ to isolate $T - T_0$, resulting in $T - T_0 = \frac{L - L_0}{\alpha}$. Finally, add $T_0$ to both sides to solve for $T$, yielding $T = \frac{L - L_0}{\alpha} + T_0$, which matches option B.

Solve for the Indicated Variable L=α(T−T0)+L0L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }L=α(T−T0​)+L0​

Solve for the Indicated Variable $L = \alpha \left( T - T _ { 0 } \right) + L _ { 0 }$