Cells that move throughout the sponge to deliver food to the organism's cells are

a. amoebocytes.

c. gemmules.

b. choanocytes.

d. spicules.

a. amoebocytes.

Here the answer to the question the type of cells that transports the food to the organism's individual cell is called the amoebocytes.

Amoebocytes, called amoebocytes because they move like an amoeba-like organism thru its pseudopodia. It is called the moving cell or can freely swift its way from one space to another.