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1 Unit 1: Pure Mathematics A

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Question 94

Two experiments measuring the population of insects are started at the same time. PA=ae0.2tP_A = ae^{0.2t}PA​=ae0.2t and PB=be0.15tP_B = be^{0.15t}PB​=be0.15t. At the start (t=0t=0t=0) total is 120. After 8 days (t=8t=8t=8) total is 480.

a.

Show that a=50a = 50a=50, to the nearest whole number, and find the value of bbb.

[3]
b.

Estimate the total number of insects after 10 days.

[1]
c.

Find the day that the number of insects in experiment A exceed the number of insects in experiment B.

[3]
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1 Unit 1: Pure Mathematics A Questions

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