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1.9 F: Exponentials and logarithms

1.9 F: Exponentials and logarithms

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Question 29

Michael's car is valued after 2 years and after 5 years. V=Ae−ktV = Ae^{-kt}V=Ae−kt.

Time (years)25
Value (£)4720029200
a.

Explain what the value of A A\,A represents.

[1]
b.

Show that ln⁡V=ln⁡A−kt\ln V = \ln A - ktlnV=lnA−kt

[1]
c.

Calculate the value of A A\,A and the value of kkk

[4]
d.

Use the model to predict the value of the car after 10 years.

[2]
Markscheme

1.9 F: Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.9 F: Exponentials and logarithms

62 exam-style questions on AQA A Level Maths 1.9 F: Exponentials and logarithms, covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.

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