A student is investigating a family of similar shapes. She measures the width, w, and the area,
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A student is investigating a family of similar shapes. She measures the width, w, and the area, A, of each shape. She suspects there is a formula of the form A = pwq, so she plots the logarithms of her results.
The graph has a gradient of 2 and passes through −0.1049 on the vertical axis.
a. Write down an equation for the line.
b. Starting with your answer to part a, or otherwise, find the exact value of q and the value of p to 4 decimal places.
c. Suggest the name of the family of shapes that the student is investigating, and justify your answer.
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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