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1.6 Exponentials and logarithms

1.6 Exponentials and logarithms

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Question 43

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

1.6 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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