If we assume that a person's weight depends on the energy consumed minus energy ued, one model is that weight changes in proportion to the difference, so:
dw/dt = k(C - 38.5w) where w(0) = w subscript 0
where w(t) kg is the weight at t days, C is the daily calorie intake, and we assume 38.5 calories per kg per day are used
(i) if you wish to maintain a constant weight of 82 kg, what should be your daily calorie intake C?
(ii) If you weigh 100 kg, and you want to lose 10 kg in a month, what should C be? (Assume k = 1.3 * 10^(-4) kg/calorie and a month of 30 days) Is this result healthy?
can someone solve these questions for me, they are on a past test paper which does not have solutions available.