Week The equation for the line of best fit is \( y=4.8 x+33.4 \). According to the equation, which of these statements is true? Before the training program started, a typical team member made about \( 33 \% \) of their free throws. Over 1 week of training, a typical team member improved by about \( 33 \% \). Wh

To determine which statement is true based on the linear equation \( y = 4.8x + 33.4 \), let's analyze the components of the equation: - **\( y \)** represents the percentage of free throws made by a team member. - **\( x \)** represents the number of weeks of training. - **\( 33.4 \)** is the y-intercept, indicating the free throw percentage when \( x = 0 \) (i.e., before any training). - **\( 4.8 \)** is the slope, indicating the average improvement in free throw percentage per week of training. **Analyzing the Statements:** 1. **Before the training program started, a typical team member made about \( 33\% \) of their free throws.** - **Evaluation:** This statement aligns with the y-intercept of the equation. When \( x = 0 \) (no training), \( y = 33.4\% \), which is approximately \( 33\% \). - **Conclusion:** **True** 2. **Over 1 week of training, a typical team member improved by about \( 33\% \).** - **Evaluation:** The slope of the equation indicates that each week of training improves the free throw percentage by \( 4.8\% \). Therefore, after 1 week of training (\( x = 1 \)): \[ y = 4.8(1) + 33.4 = 38.2\% \] This is an improvement of \( 4.8\% \), not \( 33\% \). - **Conclusion:** **False** **Final Determination:** - **True Statement:** *Before the training program started, a typical team member made about \( 33\% \) of their free throws.*