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.
Explain what the value of a a\,a represents
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.
54 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.