AQA Paper 1 Specimen — Question 6

Exam BoardAQA
ModulePaper 1 (Paper 1)
SessionSpecimen
TopicDifferential equations

6 Sam goes on a diet. He assumes that his mass, \(m \mathrm {~kg}\) after \(t\) days, decreases at a rate that is inversely proportional to the cube root of his mass. 6
  1. Construct a differential equation involving \(m\), \(t\) and a positive constant \(k\) to model this situation.
    6
  2. Explain why Sam's assumption may not be appropriate.