$\backslash$table$[[\backslash$table$[[$Personal$],[$income$]],283\mathrm{.}16,342\mathrm{.}40,471\mathrm{.}89,587\mathrm{.}56,841\mathrm{.}84,837\mathrm{.}77]]$

These data can be modeled by $I=272\mathrm{.}27*e^{(0\mathrm{.}027t)},$ where $x$ is the number of years past $1960.$ If this model is accurate, find the rate of change of the total U$.$S$.$ personal income in $2001.$ Round your answer to the nearest ten million dollar.

$$25\mathrm{.}45$ billion per year

$$22\mathrm{.}24$ billion per year

$$6\mathrm{.}96$ billion per year

$$25\mathrm{.}45$ billion per year

$$22\mathrm{.}24$ billion per year

$$6\mathrm{.}96$ billion per year

$$215\mathrm{.}46$ billion per year

$$19\mathrm{.}43$ billion per year

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