# Mathematics

posted by
**Lizet** on
.

You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population was 5,130,632.

(1)Calculate the state's annual growth rate as a percentage correct to at least six decimal places. You will need this precision to get the rest of the parts correct. %

The conversation continues about how big the state will be in 14 years. The pundit also says that the expected growth will quadruple the state population in 14 years.

(2) Assume that the average annual growth rate can be applied over the next 14 years after 2006.

(a) Calculate the estimated population of Arizona in 2020 using discrete exponential growth.

Now calculate the ratio of growth (new to old):

(b) Calculate the estimated population of Arizona in 2020 using continuous exponential growth.

Now calculate the ratio of growth (new/old):

(c) Calculate the estimated population of Arizona in 2020 using linear growth.

Now calculate the ratio of growth (new/old):