OCR MEI C3 2008 June — Question 6

Exam BoardOCR MEI
ModuleC3 (Core Mathematics 3)
Year2008
SessionJune
TopicExponential Functions

6 In a chemical reaction, the mass \(m\) grams of a chemical after \(t\) minutes is modelled by the equation $$m = 20 + 30 \mathrm { e } ^ { - 0.1 t }$$
  1. Find the initial mass of the chemical. What is the mass of chemical in the long term?
  2. Find the time when the mass is 30 grams.
  3. Sketch the graph of \(m\) against \(t\).