The table below shows the area, A, in square centimetres of a patch of mould t days
Question:
The table below shows the area, A, in square centimetres of a patch of mould t days after it first appears.
It is thought that the relationship between A and t is of the form A = kbt.
a. Show that the model can be written as logA = (logb)t + logk.
b. Plot the graph of logA against t and explain why it supports the assumption that A = kbt.
c. Use your graph to estimate the values of b and k.
d. Estimate:
i. The time when the area of the mould was 6 cm2
ii. The area of the mould after 4.5 days.
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Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
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