A power model is a type of function in the form y=a*x^b. Use the points (1,4), (2,8), (3,16), and (4,64) and a calculator to find an exponential model and a power model for the data. Then use each model to predict the values of y when x = 6. Graph the points and models in the same window. What do you notice?
[tex]y = 3.12520174x^{1.83735477} \\\\\\ \stackrel{\textit{what is "y" when x = 6?}}{y=3.12520174(6)^{1.83735477}}\implies y\approx 84.065532658763[/tex]
