Americans are getting married later in life, or not getting married at all. In 2010, more than half of Americans ages 25 through 29 were unmarried. The bar graphs show the percentage of never-married men and women in this age group for four selected year. The date are 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 through or near the four points Use these lines to solve Exercises 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 from of the equation of the line that models the percentage of never-married American males ages 25-90, y, x years after 1980. b. Write the equation form 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 2020.
Americans are getting married later in life, or not getting married at all. In 2010, more than half of Americans ages 25 through 29 were unmarried. The bar graphs show the percentage of never-married men and women in this age group for four selected year. The date are 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 through or near the four points Use these lines to solve Exercises 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 from of the equation of the line that models the percentage of never-married American males ages 25-90, y, x years after 1980. b. Write the equation form 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 2020.
Solution Summary: The author analyzes the equation of a line that models the percentage of never married American females aged 25–29 years after 1980.
Americans are getting married later in life, or not getting married at all. In 2010, more than half of Americans ages 25 through 29 were unmarried. The bar graphs show the percentage of never-married men and women in this age group for four selected year. The date are 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 through or near the four points Use these lines to solve Exercises 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 from of the equation of the line that models the percentage of never-married American males ages 25-90, y, x years after 1980.
b. Write the equation form 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 2020.
Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
M = log
The formula
determines the magnitude of an earthquake,
where / is the intensity of the earthquake and S is the intensity of
a "standard earthquake." How many times stronger is an
earthquake with a magnitude of 8 than an earthquake with a
magnitude of 6? Show your work.
Now consider equations of the form ×-a=v
= √bx + c, where a, b, and c
are all positive integers and b>1.
(f) Create an equation of this form that has 7 as a solution and
an extraneous solution. Give the extraneous solution.
(g)
What must be true about the value of bx + c to ensure that
there is a real number solution to the equation? Explain.
The equation ×+ 2 = √3x+10 is of the form ×+ a = √bx + c, where a, b, and
c are all positive integers and b > 1. Using this equation as a
model, create your own equation that has extraneous solutions.
(d) Using trial and error with numbers for a, b, and c, create an
equation of the form x + a = √bx + c, where a, b, and c are all
positive integers and b>1 such that 7 is a solution and there
is an extraneous solution. (Hint: Substitute 7 for x, and
choose a value for a. Then square both sides so you can
choose a, b, and c that will make the equation true.)
(e) Solve the equation you created in Part 2a.
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