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4 marksExponential and Logarithmic Functions

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 2(c)(ii)

The population growth of bacteria present in a river after time, t hours, is given by N = 300 + 5ᵗ.

Determine the time required to triple the number of bacteria.

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Other parts of this question

  1. 2(a)(i)Show that (g° f) is one-to-one.[4 marks]
  2. 2(a)(ii)Show that (g° f) is onto.[4 marks]
  3. 2(b)(i)Solve 3 - 4/(9)ˣ - 4/(81)ˣ = 0.[7 marks]
  4. 2(b)(ii)Solve |5x - 6| = x + 5.[5 marks]
  5. 2(c)(i)Determine the number of bacteria present at t = 0.[1 mark]

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