When playing basketball, Jan makes 4 out of every 10 shots she takes. Select all the statements that describe Jan's situation. \( \begin{array}{l}\square \text { The ratio of the number of shots Jan makes to the number of shots she takes is } 2: 5 \\ \text { The ratio of the number of shots Jan makes to the number of shots she does not make is } 2: 3 \\ \text { The equation } 4 x=10 y \text { shows the relationship between } x \text {, the number of shots Jan makes and } y \text {, the number of shots } \\ \text { she takes. } \\ \text { The equation } 6 x=4 z \text { shows the relationship between } x \text {, the number of shots Jan makes and } z \text {, the number of shots } \\ \text { she does not make. }\end{array} \)

Jan's shooting skill illustrates a classic proportion that you can encounter in sports and statistics. When she makes 4 out of 10 shots, that's a shooting percentage of 40%, which is a key metric in understanding a player's effectiveness. Compiling stats like these helps coaches make informed decisions on player rotations and game strategy! In terms of ratios, Jan's shots present a fun little numerical puzzle! The ratio of successful shots to the total shots taken is indeed 2:5, while the ratio of shots made to shots not made (which would be 4 made and 6 missed for 10 total shots) is 2:3. These ratios not only tell us about Jan's performance but also serve to teach budding mathematicians about real-world applications of ratios and proportions!