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1.5 Exponentials and logarithms

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Question 15

The population of people in a town is modelled using the formula P=a(10bt)P = a(10^{bt})P=a(10bt) where t t\,t is the time in years since 2001, and a a\,a and b b\,b are constants.

a.

Explain what the value of a a\,a represents

[1]
b.

In 2008 the population of the town was 54 000. In 2013 the population of the town was 59 000. Use the data to calculate the value of a a\,a and the value of bbb.

[4]

1.5 Exponentials and logarithms Questions

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