Final answer:
The client statement demonstrating the need for further teaching is that they would place the transdermal patch on the buttock, which may affect its efficacy and risk it being rubbed off.
Step-by-step explanation:
The student's question is about correct use and understanding of transdermal patch medication in an older adult client. The statement that demonstrates the need for further teaching by the nurse is "I will place this on my buttock." The placement of a transdermal patch is important for its efficacy and absorption; typically, it should be placed on a flat area with little hair and movement, avoiding areas like the buttock due to the risk of the patch moving or being rubbed off.
The patient's comments on disposal and rotating patch locations do show an understanding of proper usage. Understanding that medication may work slower is an acknowledgement of altered pharmacodynamics in the elderly, which is correct.