OCR H240/01 2018 June — Question 11

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2018
SessionJune
TopicExponential Equations & Modelling

11 In a science experiment a substance is decaying exponentially. Its mass, \(M\) grams, at time \(t\) minutes is given by \(M = 300 e ^ { - 0.05 t }\).
  1. Find the time taken for the mass to decrease to half of its original value. A second substance is also decaying exponentially. Initially its mass was 400 grams and, after 10 minutes, its mass was 320 grams.
  2. Find the time at which both substances are decaying at the same rate.