Final answer:
The correct system of statements modeling the relationship between the amount of gespils and the amount of totts is option a) 6x + y ≥ 5, y ≤ 6.
Step-by-step explanation:
The correct system of statements modeling the relationships between the amount of gespils (x) and the amount of totts (y) is option a) 6x + y ≥ 5, y ≤ 6.
This system of statements satisfies the given constraints that Farmer Lirn expected to sell no fewer than 5 units and no more than 6 gespils. The inequality 6x + y ≥ 5 represents the lower limit of 5 units, and the inequality y ≤ 6 represents the upper limit of 6 gespils.
Therefore, the correct answer is a) 6x + y ≥ 5, y ≤ 6.