Subjects algebra

Butter Usage

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1. The problem states that the line of best fit for the relationship between movie tickets sold ($x$) and ounces of butter used ($y$) is given by the equation $$y = 0.8x + 30$$. 2. We are asked to determine which statement is true based on this equation: - For 600 tickets sold, butter used is about 480 ounces. - For 550 tickets sold, butter used is about 470 ounces. 3. To check these, substitute $x = 600$ into the equation: $$y = 0.8(600) + 30 = 480 + 30 = 510$$ So, the butter used would be about 510 ounces, not 480. 4. Next, substitute $x = 550$: $$y = 0.8(550) + 30 = 440 + 30 = 470$$ This matches the statement exactly. 5. Therefore, the true statement is: "On a day when the theater sells 550 tickets, the snack stand would likely use about 470 ounces of butter." 6. This shows how to use the line of best fit to predict values by plugging in $x$ and calculating $y$.