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 = kb^t.

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 = kb^t.

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.

Transcribed Image Text:

t 1 2 3 4 5 6. A 1.8 2.6 3.6 5.1 2 10.3