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4-30.

At Jaques’ Bistro they serve two sizes of espressos, small $(S)$ and large $(L)$.  In a given day they made x of the small drinks and y of the large drinks.  What do the following expressions represent in this context?

The variables $S$ and $L$ represent the volume sizes of the respective drinks.

1. $S + L$

• Since $S$ and $L$ are volume sizes, then $S + L$ represents the sum of the volumes of the drinks.

1. $x + y$

• What did the variables $x$ and $y$ represent?

1. $xS + yL$

Since $x$ is the number of small drinks sold, and $S$ is the volume of the small drink, then $xS$ represents the total volume of all small sized drinks sold. What would $yL$ represent?