Part II: Using the table from part I and your knowledge of exponents, write an equation that describes the doubling of the rabbit population every 6 months. Step I: Define your variables. (2 points; 1 per blank)

Let y =
Let x =

Step II: Using the variables defined in step 1, write an equation that describes the doubling of the rabbit population every 6 months. Hint: Remember that at the beginning there were 2 rabbits. (2 points)

Part III: Use the equation you wrote in part II to estimate the number of rabbits in the population after 8 years. Show your work. Hint: Remember that 8 years would represent 16 time periods. (3 points)​