In biological membranes, the phospholipid bilayer is fundamental to cellular structure and function. Each phospholipid molecule consists of a hydrophilic (water-attracting) phosphate head and two hydrophobic (water-repelling) fatty acid tails. This unique arrangement allows the bilayer to serve as a semi-permeable barrier, regulating the movement of substances in and out of the cell. Moreover, the fluidity and flexibility of the membrane are influenced by various factors, including temperature, the composition of fatty acids, and the presence of cholesterol. Consider a scenario where a cell is exposed to a high concentration of saturated fatty acids in its environment. Which of the following statements is most likely true regarding the impact of this exposure on the fluidity of the cell membrane?