SAT Question b450ab03: Linear Equations In Two Variables answer and explanation with Desmos solution

Choice B is correct. It's given that the employee takes $1.5$ minutes to prepare a sandwich. Multiplying $1.5$ by the number of sandwiches, $x$, yields $1.5x$, the amount of time the employee spends preparing $x$ sandwiches. It's also given that the employee takes $1.9$ minutes to prepare a salad. Multiplying $1.9$ by the number of salads, $y$, yields $1.9y$, the amount of time the employee spends preparing $y$ salads. It follows that the total amount of time, in minutes, the employee spends preparing $x$ sandwiches and $y$ salads is $1.5x+1.9y$. It's given that the employee spends a total of $46.1$ minutes preparing $x$ sandwiches and $y$ salads. Thus, the equation $1.5x+1.9y=46.1$ represents this situation.