1) Belle is building a trophy case for her son. The number of shelves in the case will be dictated by how many trophies Belle's son has. (1) \( s \) = the number of shelves (1) \( t \) = the number of trophies Which of the variables is independent and which is dependent? \( s \) is the independent variable and \( t \) is the dependent variable \( t \) is the independent variable and \( s \) is the dependent variable

In this scenario, Belle's son’s trophies determine the number of shelves in the trophy case. Therefore, the number of trophies \( t \) is the independent variable because it influences the resulting number of shelves \( s \). Conversely, \( s \) is the dependent variable as it relies on how many trophies there are. So, the correct relationship is \( t \) is the independent variable and \( s \) is the dependent variable. Understanding this relationship is key to planning appropriately. If Belle knows she needs to optimize the space for potential trophies, she can accurately calculate how many shelves will be ultimately required as her son's collection grows. This way, she can build a trophy case that not only serves its purpose but also makes for a lovely display of achievements!