SAT Question b76a2815: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice B is incorrect. This expression gives $W$ in terms of $P$ and $t$ but doesn't maintain the given relationship between $W$, $P$, and $t$. This expression may result from performing different operations with $t$ on each side of the equation. In this case, $W$ has been multiplied by $t$, and $P$ has been divided by $t$. However, in order to maintain the relationship between the variables in the given equation, the same operation must be performed with $t$ on each side of the equation.

Choice C is incorrect. This expression gives $W$ in terms of $P$ and $t$ but doesn't maintain the given relationship between $W$, $P$, and $t$. This expression may result from performing different operations with $t$ on each side of the equation. In this case, $W$ has been multiplied by $t$, and the quotient of $P$ divided by $t$ has been reciprocated. However, in order to maintain the relationship between the variables in the given equation, the same operation must be performed with $t$ on each side of the equation.

Choice D is incorrect. This expression gives $W$ in terms of $P$ and $t$ but doesn't maintain the given relationship between $W$, $P$, and $t$. This expression may result from performing different operations with $t$ on each side of the equation. In this case, $W$ has been multiplied by $t$, and $P$ has been added to $t$. However, in order to maintain the relationship between the variables in the given equation, the same operation must be performed with $t$ on each side of the equation.