Final Answer:
The equation representing the relationship between s and t from the given data is option C. s = t + 2.
Step-by-step explanation:
In the provided dataset, there's a consistent pattern between the values of t and corresponding values of s. Looking closely, as t increases by 14 (from 21 to 35, 35 to 49, and so on), s consistently increases by 2 (from 3 to 5, 5 to 7, and so forth). This consistent increase indicates a linear relationship between s and t.
The equation s = t + 2 signifies this linear relationship, where s represents the dependent variable (output) and t the independent variable (input). By adding 2 to t, we can predict the corresponding value of s in this pattern. For instance, when t is 21, applying the equation gives us s = 21 + 2, which equals 23. This aligns with the initial data provided (21, 3) in the pattern.
This linear equation holds consistently for the entire dataset provided, validating that for every increase of t by 14, s increases by 2. Therefore, the relationship between s and t is accurately represented by the equation s = t + 2.
1: Explanation of observed pattern and relationship between t and s.
2: Justification for selecting the equation s = t + 2 based on consistent increments and relation between the given values.
3: Illustration of how the equation accurately predicts the values in the provided dataset and confirms the linear relationship between s and t.