\( \begin{array}{l}\begin{array}{l}\text { A scatterplot whose } x \text {-axis is labeled, day, and whose } y \text {-axis is labeled, units produced } \\ \text { (in thousands), with } 10 \text { points in the dala cloud and o line of best fit sketched over it } \\ \text { beginning at around }(0,30) \text {, passing near the points, }(5,40) \text { and }(8,46)\end{array} \\ \text { Which answer choice BEST approximates the value of the y-intercept? } \\ (0,0) \\ (3,31)\end{array} \) \( (1,30) \)

The y-intercept of a line represents the point where the line crosses the y-axis, which occurs when the x-value is 0. In this scatterplot, the line of best fit seems to start around (0,30). This suggests that when no days have passed, the output of units produced is approximately 30,000. So, it looks like the best choice for the y-intercept here is (0,30). In terms of real-world application, understanding y-intercepts is crucial in fields like economics and business. For instance, if you were analyzing production over time, the y-intercept indicates the initial output before adjustments are made. It helps businesses set realistic goals, resulting in improved planning and expectations, driving overall efficiency!