Chapter 11.2, Problem 65E

Disposable income per capita Using U.S. Energy Information Administration data for selected years from 2010 and projected to 2040, the U.S. real disposable income per capita (in thousands of dollars) can be modeled by

$I(t)=32.11{\left(1.014\right)}^t$ where t is the number of years after 2010.

(a) Write the function that models the rate of change of U.S. per capita real disposable income. Use 4 significant digits.

(b) Predict the rate of change of U.S. per capita real disposable income in 2025.