OCR C3 2007 June — Question 5

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2007
SessionJune
TopicExponential Functions

5 A substance is decaying in such a way that its mass, m kg , at a time t years from now is given by the formula $$\mathrm { m } = 240 \mathrm { e } ^ { - 0.04 \mathrm { t } }$$
  1. Find the time taken for the substance to halve its mass.
  2. Find the value of \(t\) for which the mass is decreasing at a rate of 2.1 kg per year.