There were 4.32 million licensed drivers in arizona in 2009 and 3.78 million in 2004.
find a formula for the number, n, of licensed drivers in the us as a function of t, the number of years since 2004, assuming growth is exponential.
n(t) = million drivers

To solve this, we are going to use the exponential growth function:

where

is the final population  after years of growth

is the initial population

is the growth rate in decimal form

is the time in years

In our model will be the number of years after 2004, so the number of years after 2004 is 0 and the number of years after 2009 is 5. The initial population is, therefore, the number of licensed drivers in 2004, so . The final population is the number of licensed drivers in 2009, so . Let's use those facts to calculate the growth rate and complete our model:

For the final population

, , and  . Let's replace the values in our function

Now we can complete our model

where is the number of years after 2004

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step-by-step explanation:

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