It is thought that the relationship between two variables, a and b, is of the form b

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It is thought that the relationship between two variables, a and b, is of the form b = Paⁿ. An experiment is conducted to test this assumption. The results are shown in the table.

a. Show that the model can be written as lnb = nlna + lnP.

b. Plot the graph of lnb against ln a and say why this supports the assumption b = Paⁿ.

c. Estimate the values of n and p.

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Cambridge IGCSE And O Level Additional Mathematics

ISBN: 9781510421646

1st Edition

Authors: Val Hanrahan, Jeanette Powell

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Question Posted: Sep 02, 2021 01:06 AM

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It is thought that the relationship between two variables, a and b, is of the form b

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a 2 4 6. 8 10 12 b 9.8 12.1 13.7 14.9 16.0 16.9 .....

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Part b Part c Inb lnPan Using logarithmic properties Inxy lnx Iny we c...View the full answer

Cambridge IGCSE And O Level Additional Mathematics

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