Subjects algebra

Line Of Best Fit

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1. **State the problem:** We are given the line of best fit equation $$y = -6x + 125$$ where $y$ represents the number of shirts left and $x$ represents the number of days. We need to determine which statement about the manager's shirt inventory and sales is true. 2. **Understand the equation:** The equation is in slope-intercept form $$y = mx + b$$ where: - $m = -6$ is the slope, representing the rate of change of shirts left per day. - $b = 125$ is the y-intercept, representing the number of shirts at day $x=0$. 3. **Interpret the y-intercept:** The y-intercept $b=125$ means that at day 0 (the start), the manager likely had about 125 shirts. 4. **Interpret the slope:** The slope $m = -6$ means the number of shirts decreases by 6 each day, so the manager is selling about 6 shirts per day, not 125. 5. **Conclusion:** The true statement is: "The manager likely started out with about 125 shirts." The statement "The manager was selling about 125 shirts each day" is false. **Final answer:** The manager likely started out with about 125 shirts.