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1.6 Exponentials and logarithms

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Question 17

Two experiments measuring the population of insects are started at the same time. PA=ae0.2tP_A = ae^{0.2t}PA​=ae0.2t and PB=be0.15tP_B = be^{0.15t}PB​=be0.15t. At the start (t=0t=0t=0) total is 120. After 8 days (t=8t=8t=8) total is 480.

a.

Show that a=50a = 50a=50, to the nearest whole number, and find the value of bbb.

[3]
b.

Estimate the total number of insects after 10 days.

[1]
c.

Find the day that the number of insects in experiment A exceed the number of insects in experiment B.

[3]
Markscheme

1.6 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and logarithms

104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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