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1.6 Exponentials and logarithms

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Question 43

The population of a species of plant in a field is modelled using the formula P=50e0.1tP = 50e^{0.1t}P=50e0.1t where t t\,t is the number of weeks since the population was first recorded.

a.

Write down the number of plants when the population was first recorded.

[1]
b.

Find the rate of increase in the population 10 weeks after the population was first recorded.

[2]
c.

Find the first whole number of weeks after which the number of plants exceeds 300.

[4]
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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