Rational Functions

Paulat18

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In 1918, women were allowed to join the Marine Corps to handle the clerical duties, while the men fought in World War I. Prior to World War II, the United States Marine Corps Women’s Reserve was formed. Eventually Congress passed the Women’s Armed Services Integration Act. Women could then join the regular component of the Marine Corps, but the number of women could not exceed 2% of the total number of Marines.
By 1965, during the Vietnam War, there were 2700 women in the Marines. Women could participate in a wider variety of duties including radio operator, parachute rigger, quartermaster, auto mechanic, telegraph operator, and aerial gunnery instructor. But it was not until1967 that a law was passed removing the restriction on the number of women in the Marines. In addition, women could be promoted to the rank of colonel. Within the next ten years, women would be able to work in all aspects of the Marine Corps except the infantry, artillery, armor, and the pilot/air crew.
In 2008, there were 9782 women in the Marine Corps on active duty, or about 5% of the Marines on active duty. Currently, women now receive combat training and are accepted into special skill schools that were traditionally only available to the male Marines. Also, women are working in non-traditional jobs and in certain other areas that were previously restricted. Women in the Marine Corps serve proudly and honorably next to their male counterparts in any area the United States Marine Corps requires. The number of women in the United States Marine Corps can be modeled by W=414x2 − 3341x + 94030.04x2 − 0.32x + 1,
where is the number of years since 2000.
  1. Graph the model to find the number of women in the Marine Corps between 2000 and 2009.
  2. Use your graph to estimate the number of female Marines in2006.
  3. Identify the x-intercepts of this function, if any.
  4. Identify the vertical and horizontal asymptotes of the graph of this function, if any.
  5. Use the function to estimate the number of women in the Marine Corps in 2015.
  6. Give two reasons why the number of women in the Marine Corps could exceed your answer from Exercise 5.
 
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It looks like you pasted the problem in here, and didn't check that it all worked right.

Is the model supposed to be W=(414x2 − 3341x + 9403)/(0.04x2 − 0.32x + 1), perhaps?

Once that's cleared up, please do as we ask in the submission guidelines, and tell us where you need help with this. Show what you have been able to do, and ask specific questions about the parts you need help with.
 
In 1918, women were allowed to join the Marine Corps to handle the clerical duties, while the men fought in World War I. Prior to World War II, the United States Marine Corps Women’s Reserve was formed. Eventually Congress passed the Women’s Armed Services Integration Act. Women could then join the regular component of the Marine Corps, but the number of women could not exceed 2% of the total number of Marines.
By 1965, during the Vietnam War, there were 2700 women in the Marines. Women could participate in a wider variety of duties including radio operator, parachute rigger, quartermaster, auto mechanic, telegraph operator, and aerial gunnery instructor. But it was not until1967 that a law was passed removing the restriction on the number of women in the Marines. In addition, women could be promoted to the rank of colonel. Within the next ten years, women would be able to work in all aspects of the Marine Corps except the infantry, artillery, armor, and the pilot/air crew.
In 2008, there were 9782 women in the Marine Corps on active duty, or about 5% of the Marines on active duty. Currently, women now receive combat training and are accepted into special skill schools that were traditionally only available to the male Marines. Also, women are working in non-traditional jobs and in certain other areas that were previously restricted. Women in the Marine Corps serve proudly and honorably next to their male counterparts in any area the United States Marine Corps requires. The number of women in the United States Marine Corps can be modeled by W=414x2 − 3341x + 94030.04x2 − 0.32x + 1,
where is the number of years since 2000.
  1. Graph the model to find the number of women in the Marine Corps between 2000 and 2009.
  2. Use your graph to estimate the number of female Marines in2006.
  3. Identify the x-intercepts of this function, if any.
  4. Identify the vertical and horizontal asymptotes of the graph of this function, if any.
  5. Use the function to estimate the number of women in the Marine Corps in 2015.
  6. Give two reasons why the number of women in the Marine Corps could exceed your answer from Exercise 5.
Please make sure that you have posted the correct equation for W and correct it as needed.

Please read the rules of postings in this forum at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/

Please share your work/thoughts about this assignment - with us, so that we know where to begin to help you.
 
In 2008, there were 9782 women in the Marine Corps on active duty, or about 5% of the Marines on active duty. Currently, women now receive combat training and are accepted into special skill schools that were traditionally only available to the male Marines. Also, women are working in non-traditional jobs and in certain other areas that were previously restricted. Women in the Marine Corps serve proudly and honorably next to their male counterparts in any area the United States Marine Corps requires. The number of women in the United States Marine Corps can be modeled by W=(414x2 − 3341x + 9403)/(0.04x2 − 0.32x + 1),
,

where is the number of years since 2000.

  1. Graph the model to find the number of women in the Marine Corps between 2000 and 2009.
  2. Use your graph to estimate the number of female Marines in 2006.
  3. Identify the x-intercepts of this function, if any.
  4. Identify the vertical and horizontal asymptotes of the graph of this function, if any.
  5. Use the function to estimate the number of women in the Marine Corps in 2015.
  6. Give two reasons why the number of women in the Marine Corps could exceed your answer from Exercise 5.
 
In 2008, there were 9782 women in the Marine Corps on active duty, or about 5% of the Marines on active duty. Currently, women now receive combat training and are accepted into special skill schools that were traditionally only available to the male Marines. Also, women are working in non-traditional jobs and in certain other areas that were previously restricted. Women in the Marine Corps serve proudly and honorably next to their male counterparts in any area the United States Marine Corps requires. The number of women in the United States Marine Corps can be modeled by W=(414x2 − 3341x + 9403)/(0.04x2 − 0.32x + 1),
,

where is the number of years since 2000.

  1. Graph the model to find the number of women in the Marine Corps between 2000 and 2009.
  2. Use your graph to estimate the number of female Marines in 2006.
  3. Identify the x-intercepts of this function, if any.
  4. Identify the vertical and horizontal asymptotes of the graph of this function, if any.
  5. Use the function to estimate the number of women in the Marine Corps in 2015.
  6. Give two reasons why the number of women in the Marine Corps could exceed your answer from Exercise 5.
i don't know how to solve it
 
… where [x] is the number of years since 2000.

Graph the model … between 2000 and 2009
i don't know how to solve it
Hello. I'm thinking your class uses computer software or graphing calculators, for such graphs. As x represents the number of years since 2000, you want to graph W from x=0 through x=9. If you're supposed to sketch the graph by hand, instead, please let us know. If you need help graphing with your calculator, please provide the model number.

W=(414x2 − 3341x + 9403)/(0.04x2 − 0.32x + 1)
We type exponents using the caret symbol ^ like this:

W = (414x^2 − 3341x + 9403)/(0.04x^2 − 0.32x + 1)

That's also how we type it, when entering the function for most software.

?
 
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