OCR C3 2005 June — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2005
SessionJune
TopicExponential Functions
3 The mass, \(m\) grams, of a substance at time \(t\) years is given by the formula $$m = 180 \mathrm { e } ^ { - 0.017 t } .$$
  1. Find the value of \(t\) for which the mass is 25 grams.
  2. Find the rate at which the mass is decreasing when \(t = 55\).
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