To determine if Sara found the initial value (or y-intercept) correctly, we need to understand what the y-intercept represents in a relationship between hours worked (x) and money earned (y). The y-intercept is the value of y when x is 0, which indicates how much money is earned without any hours worked.
To confirm if Sara found the initial value correctly, we would need to look at the table she was given. Without that information, it's impossible to determine whether she made an error.
If Sara correctly identified the value of y when x is 0 from the table, then her answer is correct. If the table shows that earning starts at a certain amount when no hours are worked and Sara did not identify this correctly, then her answer would be incorrect.
Please provide the table or specify Sara's steps, and I can then confirm whether her conclusion about the initial value is accurate.