A person's weight depends both on the daily rate of energy intake, say C calories per day, and the daily rate of energy consumption, typically between 12 and 20 calories per pound per day. Using an average value of 16 calories per pound per day, a person weighing w pounds uses 16w calories per day. If , then weight remains constant, and weight gain or loss occurs according to whether C is greater or less than 16w.To determine how fast a change in weight will occur, a plausible assumption is that dw/dt is proportional to the net excess (or deficit) in the number

Question

of calories per day.Assuming C is constant, a differential equation to express this relationship is    where k is the constant of proportionality. The units of dw/dt are pounds per day, and the units of C - 16w are calories per day. What units must k have?



A. pounds/day

B. pounds/calorie

C. calorie/pounds

D. pounds calories/day2

Answer 1

Answer: B