2. The Key Club sold pizza slices and hot dogs as a fundraiser. Pizza slices cost \( \$ 4.00 \), and hot dogs cost \( \$ 5.00 \). The fundraiser earned \( \$ 200 \). 00 . Which linear equation BEST models the number of pizza slices, \( x \), and the number of hot dogs, \( y \), sold? \( 4 x+5 y+200=0 \) \( 5 x-4 y=200 \) \( 4 x+5 y=200 \) \( y=4 x+200 \)
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The correct linear equation that models the situation is \( 4x + 5y = 200 \). This equation effectively represents the total revenue generated from selling \( x \) pizza slices at \( \$ 4 \) each and \( y \) hot dogs at \( \$ 5 \) each, where the total revenue equals \( \$ 200 \). To visualize how this fundraiser could be plotted, you can represent different combinations of pizza slices and hot dogs on a graph. By setting values for \( x \) (like 0, 25, or 50 slices), you can easily calculate corresponding \( y \) values to see how many hot dogs were sold and find feasible selling options for the fundraiser. Have fun graphing!