Chapter 2.5, Problem 27E

Disposable income Disposable income is the amount left after taxes have been paid and is one measure of the health of the economy. The following table gives the total U.S disposable income (in billions of $2005$ dollars) for selected year from $2010$ and projected to $2040$.

Use $x$ as the number of years past $2010$ and write the equation of the function that is best fit for these data.

What does the model predict for the disposable income in $2027$?

Interpret slope of the model found in parts (a).

$\begin{array}{lllllll}\text{year}\hfill & \text{2010}\hfill & \text{2015}\hfill & \text{2020}\hfill & \text{2025}\hfill & \text{2030}\hfill & \begin{array}{ccc}\text{2035}& & \text{2040}\end{array}\hfill \\ \text{Income (billions)}\hfill & \text{\$10,017}\hfill & \text{\$11,120}\hfill & \text{\$12,655}\hfill & \text{\$14,259}\hfill & \text{\$15,948}\hfill & \begin{array}{cc}\text{\$17,752}& \text{\$19,785}\end{array}\hfill \end{array}$