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1 Pure Mathematics

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Question 590

The population of bacteria, PPP, is modelled t t\,t hours after it was first recorded by the relationship log⁡10P=0.5t+1.398\log_{10} P = 0.5t + 1.398log10​P=0.5t+1.398

a.

Show that P=abtP = ab^tP=abt, where a a\,a and b b\,b are constants to be found. Give the value of a a\,a to the nearest whole number and the value of b b\,b to 3 significant figures.

[4]
b.

Interpret the meaning of the constant a a\,a in this model.

[1]
c.

Find the population of the bacteria after 10 hours, giving your answer to 2 significant figures.

[2]
Markscheme

1 Pure Mathematics Questions

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  3. /1 Pure Mathematics

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