Chapter 2 Explorations

Section 2.1, Extension of Exploration 1 (page 158)

The Smiths bought a house for $60,000. The value of the house appreciates at the rate of $2,500 per year.

1. What is the rate of change of the value of the house?
2. Write an equation for the value v(t) of the house as a linear function of the time t since the Smiths purchased the house.
3. Evaluate v(0) and v(25).
4. Solve v(t) = 150,000 and give a meaning for the solution in the context of the problem.

Extension of Exploration Exercise 63 (page 173)

Go to the U.S. Census Bureau (http://www.census.gov). Under "People" click on "Income," then click on "Historical Income Tables," then under "Current Population Survey" click on "People," and then click on "Total CPS Population and Per Capita Money Income" table.

(a) Draw a scatter plot of the year (x) versus current dollars per capital income (y) for the 10 most recent years.
(b) Find the linear regression model for the data.
(c) Interpret the slope of the linear regression equation.
(d) Superimpose the regression line on the scatter plot.
(e) Use the regression model to predict the current dollars per capital income amount for the second year after the most recent listed data.

Section 2.5, Extension of Exploration 1 (page 218)

3. Factor

and then solve

. Plot the three solutions in the complex plane. How are they related (compute their distance from the origin).

4. Factor and then solve . Plot the four solutions in the complex plane. How are they related (compute their distance from the origin).
Solutions