Final answer:
To find the number of seats in each row of the auditorium, we can set up an algebraic equation based on the given information and solve for the unknown variable. In this case, the number of rows is represented by 'x'.
Step-by-step explanation:
To find the number of seats in each row, we can use algebraic equations based on the given information. Let's assume the number of rows is x. According to the question, the number of seats in each row exceeds the number of rows by 17, so the number of seats in each row is x + 17.
Since the total number of seats in the auditorium is 3008, we can set up the equation x(x + 17) = 3008.
Simplifying the equation, we get x² + 17x - 3008 = 0. Factoring or using the quadratic formula, x = -73 or x = 41. Since the number of rows cannot be negative, the number of rows is 41. Therefore, the number of seats in each row is 41 + 17 = 58.