Final answer:
Kylie is likely to be between five and six years of age and is in the preoperational stage of Piaget's theory of cognitive development.
Step-by-step explanation:
The art teacher's remark about Kylie's eye for detail and coordination and control when drawing or modeling clay suggests that Kylie is likely to be between five and six years of age. This aligns with Piaget's theory of cognitive development, specifically the preoperational stage, which typically occurs between the ages of 2 and 7. In this stage, children can use symbols to represent words, images, and ideas, and develop skills such as coloring within the lines, reproducing shapes and letters, and demonstrating good control with a pencil or marker.