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1.6 Exponentials and logarithms

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Question 28

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

Time (years)	2	5
Value (£)	47200	29200

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

[1]

Show that $ln⁡V=ln⁡A−kt\ln V = \ln A - kt$

[1]

Calculate the value of $A\,$ and the value of $k$

[4]

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

[2]

Markscheme

1.6 Exponentials and logarithms Questions

A Level
Maths
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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