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1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

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Question 55

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 how many weeks it takes for the number of plants to exceed 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 OCR A Level Maths 1.6 Exponentials and Logarithms, covering 1.6.1 Properties of the exponential function, 1.6.2 Gradient of e^(kx) (A-level only), 1.6.3 Definition of the logarithm, 1.6.4 The natural logarithm function, 1.6.5 ln x as inverse of e^x, 1.6.6 Laws of logarithms, 1.6.7 Equations involving exponentials, 1.6.8 Reduction to linear form, and 1.6.9 Modelling using exponential functions. Each one has a worked solution and a mark scheme showing where the marks go.

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