Final answer:
The muscarinic receptor type is both metabotropic and cholinergic; it is a G protein-coupled receptor activated by acetylcholine and muscarine.
Step-by-step explanation:
The type of receptor that is both metabotropic and cholinergic is muscarinic.
Muscarinic receptors are G protein-coupled receptors (metabotropic) that are part of the cholinergic system. Unlike nicotinic receptors, which are ionotropic and open ion channels, muscarinic receptors affect the target cell by activating a cascade of second messenger systems through the G protein. These receptors get their name because they are also activated by muscarine, a substance found in some mushrooms, besides their natural ligand, acetylcholine (ACh).
Muscarinic receptors are found in various locations in the body and are involved in functions such as regulating the heart rate, smooth muscle contraction, and glandular secretion.