Question

The current population of a city can be represented by p. the population is expected to increase by 6.5% next year. Write a expression in simplest form that represents the expected population next year

Answer 1

Population growth is generally given by an exponential function,

f(x) = a*b^x, where a is the original population, b = 1 + the rate of growth (written as a decimal number), and x is the amount of time.  In our case we have

p(1 + 0.065)^1
= p(1.065) = 1.065p