Subjects algebra

Jackets Snowfall

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1. The problem states that the line of best fit for jackets sold based on snowfall is given by the equation $$y = 3x + 75$$ where $y$ is the number of jackets sold and $x$ is the snowfall in inches. 2. The equation of a line in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m = 3$ means for each additional inch of snowfall, the store sells 3 more jackets. 4. The y-intercept $b = 75$ means when $x = 0$ (no snowfall), the predicted number of jackets sold is 75. 5. Therefore, the statement "In a winter without any snow, the store would likely sell about 75 jackets" is true. 6. The statement "The store sells about 75 jackets for each inch of snowfall" is false because 75 is the intercept, not the slope. Final answer: In a winter without any snow, the store would likely sell about 75 jackets.