Final answer:
The equation representing the number of books Owen reads per month, based on the pattern provided, is y = 3x + 1. This is derived from the sequence's constant increase of 3 books each month, starting with 4 books in the first month.
Step-by-step explanation:
The student's question is seeking to find the linear equation that best represents the pattern in the number of books Owen has read each month. We are given a series of consecutive book counts: {4, 7, 10, 13}, which increase by 3 each month. To find which provided equation fits this pattern, we can analyze the change in numbers as a function of the number of months. A linear equation that consistently increases by 3 would have a slope of 3. Since we start with 4 books, our equation would need a starting value (y-intercept) of 1 to match the sequence (at month 1, Owen has read 4 books).
With this pattern, the correct equation would use the number of months as the independent variable (x) and the total number of books read as the dependent variable (y). Thus, our equation is of the form y = 3x + 1, which is the second option provided.