Hello! So, with Adian having a goal to lose 5% of his body weight, that means he will still have 95% of it left. The variable "w" represents the current amount of his weight. Multiplying by 1 will still give you his weight. Suppose he weighs 200 pounds. You plug in that as "w". Then, you would multiply that number by 5% (0.05) to see how much he would need to lose. 200 * 0.05 is 10. 200 - 10 is 190. Multiplying any number by 1 will get you to the same number. B and C are out, because they are basically the same equation, even when the "w" in answer choice C is distributed. A is out, because it shows the way the problem would be set up. D does not represent, because 1 is not his weight and it does not give a realistic answer on how much he needs to lose and weigh. Therefore, the answer is D.