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1 Unit 1: Pure Mathematics A

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Question 286

The population of a species of plant in a field is modelled using the formula P=50e0.1tP = 50e^{0.1t}P=50e0.1t where t t\,t is the number of weeks since the population was first recorded.

a.

Write down the number of plants when the population was first recorded.

[1]
b.

Find the rate of increase in the population 10 weeks after the population was first recorded.

[2]
c.

Find the first whole number of weeks after which the number of plants exceeds 300.

[4]
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1 Unit 1: Pure Mathematics A Questions

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