A Nutritionist Proposes the Following Model for Weight Loss on a Program

Multiple Choice

A nutritionist proposes the following model for weight loss on a program she is developing: $\frac { \mathrm { dw } } { \mathrm { dt } }$ + 0.006w = $\frac { 1 } { 3600 }$ C where w(t) is a person's weight (in pounds) after t days of consuming exactly C calories per day. A person weighing 180 pounds goes on this diet program consuming 2400 calories per day. Use the above model to predict how long will it take this person to lose 15 pounds.

A) 41 days
B) 37 days
C) 39 days
D) 35 days