A pplication Exercises Americans are gettingmarried later in life or not getting married at all. In 2008, nearly half of Americans ages 25 through 29 were unmarried. The following bar graph shows the percentage of never-married men and women in this age group. The data ae displayed as two sets of four points each, one scatter plot for the percentage of never-married American men and one for the percentage of never-married American women. Also shown for each scatter plot is a line that passes through or near the four points. Use these lines to solve Exercises 87–88. In this exercise, you will use the red line for the men shown on the scatter plot to develop a model for the percentage of never-married American males ages 25–29. a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American males ages 25–29, y, x years after 1980. b. Write the equation from part (a) in slope-intercept form. Use function notation. c. Use the linear function to predict the percentage of never-married American males, ages 25–29, in 2015.
A pplication Exercises Americans are gettingmarried later in life or not getting married at all. In 2008, nearly half of Americans ages 25 through 29 were unmarried. The following bar graph shows the percentage of never-married men and women in this age group. The data ae displayed as two sets of four points each, one scatter plot for the percentage of never-married American men and one for the percentage of never-married American women. Also shown for each scatter plot is a line that passes through or near the four points. Use these lines to solve Exercises 87–88. In this exercise, you will use the red line for the men shown on the scatter plot to develop a model for the percentage of never-married American males ages 25–29. a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American males ages 25–29, y, x years after 1980. b. Write the equation from part (a) in slope-intercept form. Use function notation. c. Use the linear function to predict the percentage of never-married American males, ages 25–29, in 2015.
Americans are gettingmarried later in life or not getting married at all. In 2008, nearly half of Americans ages 25 through 29 were unmarried. The following bar graph shows the percentage of never-married men and women in this age group. The data ae displayed as two sets of four points each, one scatter plot for the percentage of never-married American men and one for the percentage of never-married American women. Also shown for each scatter plot is a line that passes through or near the four points. Use these lines to solve Exercises 87–88.
In this exercise, you will use the red line for the men shown on the scatter plot to develop a model for the percentage of never-married American males ages 25–29.
a. Use the two points whose coordinates are shown by the voice balloons to find the point-slope form of the equation of the line that models the percentage of never-married American males ages 25–29, y, x years after 1980.
b. Write the equation from part (a) in slope-intercept form. Use function notation.
c. Use the linear function to predict the percentage of never-married American males, ages 25–29, in 2015.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
Suppose you flip a fair two-sided coin four times and record the result.
a). List the sample space of this experiment. That is, list all possible outcomes that could
occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are
Heads (H) and Tails (T).
e).
n!
(n - 1)!
Chapter 2 Solutions
Introductory and Intermediate Algebra for College Students
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