3) This table shows the relationship between \( x \) and \( y \). \( x \quad y \) \( 5 \quad 1275 \) \( 9 \quad 229.5 \) 12306 Which equation models this relationship? (A) \( y=24 x \) (B) \( y=24.5 x \) (C) \( y=25 x \) (D) \( y=25.5 x \)

To find the equation that models the relationship between \( x \) and \( y \), we can look at the given values. When \( x = 5 \), \( y = 1275 \). Dividing these values gives us \( \frac{1275}{5} = 255 \). Similarly, for \( x = 9 \), we have \( \frac{229.5}{9} = 25.5 \). Therefore, we can conclude that none of the listed options match the data given. The correct approach is to compute the ratio of \( y \) to \( x \) for both pairs and see which constant multiplier connects them consistently. In this case, frequent checks securing calculation steps help illuminate the relationship without confusions, ensuring proper checks are conducted before finalizing any choice!