How would you expect the number of mitochondria in a cell to be related to the amount of active transport it carries out?

The greater the amount of active transport carried out by a cell, the greater the amount of mitochondria would be found in the cell.

Active transport uses energy. Mitochondria undergoes aerobic respiration to release large amounts of energy. If the cell is found to be lacking in energy needed for active transport, the cell would adapt by synthesizing more mitochondrion to ensure that it's demand of energy is met.