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Butter Usage 507853

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1. **State the problem:** We want to find how many ounces of butter Andy would likely use when the theater sells 400 movie tickets, based on the line of best fit. 2. **Understand the line of best fit:** The line starts near (50, 50) and goes near (450, 450), indicating a positive linear relationship between tickets sold ($x$) and butter used ($y$). 3. **Find the equation of the line:** Since the line passes near points $(50, 50)$ and $(450, 450)$, calculate the slope $m$: $$m = \frac{450 - 50}{450 - 50} = \frac{400}{400} = 1$$ 4. **Write the line equation in slope-intercept form:** $$y = mx + b$$ Using point $(50, 50)$ to find $b$: $$50 = 1 \times 50 + b \implies b = 0$$ So, the equation is: $$y = x$$ 5. **Calculate butter used for 400 tickets:** $$y = 400$$ **Answer:** Andy would likely use 400 ounces of butter when 400 movie tickets are sold.