Quelpr
3 marksExponential and Logarithmic Functions

CAPE Pure Mathematics Unit 1 · May/June 2016 · Paper 2 · Question 5(d)(ii)

An initial population of 10,000 bacteria grows exponentially at a rate of 2% per hour, where y = f(t) is the number of bacteria present t hours later.

Determine the time required for the bacteria population to double in size.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 5(a)Use an appropriate substitution to find ∫x(x + 1)³ dx.[4 marks]
  2. 5(b)Calculate the volume of the solid that results from rotating R about the y-axis.[5 marks]
  3. 5(c)Show that ∫₀¹ (eˣ / (eˣ + e¹⁻ˣ)) dx = 1/2.[6 marks]
  4. 5(d)(i)Solve an appropriate differential equation to show that the number of bacteria present at any time can be modelled by the equation y = 10,000 e⁰.⁰²ᵗ.[7 marks]

More practice: the rest of this paper · more Exponential and Logarithmic Functions questions · all CAPE Pure Mathematics Unit 1 past papers