The population of people in a town is modelled using the formula P=a(10bt)P = a\left(10^{bt}\right)P=a(10bt) where t t\,t is the time in years since 2001, and a a\,a and b b\,b are constants.
Explain what the value of a a\,a represents.
In 2008 the population of the town was 54 00054\,00054000, and in 2013 the population was 59 00059\,00059000. Use this data to calculate the value of a a\,a and the value of bbb, giving your answers to 3 significant figures.
104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.