A study investigating the relationship between diet and weight in adults found that the weight W of a subject, in pounds, was a function of C, the average number of calories consumed by the subject per day. (a) Give a practical interpretation of W(2050). A The weight, in pounds, of an adult who consumes an average of 2050 calories per day. " W is the average number of calories eaten by an adult in a day. " An adult who weighs W(2050) pounds must eat exactly 2050 calories per day. '\\ The average number of pounds gained by an adult due to consuming 2050 calories in a day. (b) Choose the best practical interpretation of W'(2050) = 0.002. '\\ If an adult increases the average number of calories consumed per day by 1 calorie, then the adult will gain approximately 0.002 pounds. /\" If an adult increases the average number of calories consumed per day from 2050 to 2051, then the adult will gain 0.002 pounds. f\" If C = 2050, then the slope of W is 0.002. " The rate of change of weight is 0.002 pounds per calorie. " If an adult increases the average number of calories consumed per day from 2050 to 2051, then the adult will gain approximately 0.002 pounds. (c) Suppose an adult consumes an average of 2050 calories per day and W' (2050) = 0.002. Approximately how much weight would an adult gain if they increased their average number of calories consumed per day by 30 calories? pounds