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.
Butter Usage 507853
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