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example 6

example 6. Criminal Sentences. Chapter 2.1. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x , where x and y are each measured in

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example 6

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  1. example 6 Criminal Sentences Chapter 2.1 The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method, and the intersection method. 2009 PBLPathways

  2. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method, and the intersection method.

  3. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  4. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  5. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  6. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  7. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  8. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  9. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  10. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  11. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  12. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  13. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  14. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  15. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length 10 years = 120 months

  16. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the x-intercept method mean time in prison mean sentence length (223.43, 0) 10 years = 120 months

  17. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the intersection method

  18. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the intersection method

  19. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the intersection method

  20. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the intersection method

  21. The function describes the mean time y served in prison for a crime as a function of the mean sentence length x, where x and y are each measured in months. To find the sentence for a crime that would give an expected time served of 10 years, write an equation and solve it by using the intersection method (223.43, 120)

  22. Enter the Equation Use the  key to enter the function as Y1 . Make sure that all other functions and plots are turned off. Set the Window Use the  key to set the window as shown. Set Xscl =50 and Yscl =20.

  23. Find the x-intercept Press  to access CALC. A CALCULATE screen appears. Press the  key or cursor down to 2: zero and press . You are brought back to the graph screen. You must select a Left Bound to tell the calculator where to look for the x-intercept. To do this, move the cursor somewhere close to the left side of the x-intercept. Press .

  24. Notice that an arrow appears at the top of the screen above your left bound. This is the left bound of the interval that contains the x-intercept. You must select a Right Bound to tell the calculator where to look for the x-intercept. To do this, move the cursor somewhere close to the right side of the x-intercept. Press . Notice that an arrow appears at the top of the screen above your right bound. This is the right bound of the interval that contains the x-intercept.

  25. Next, you must enter a Guess. You can enter a value somewhere within the interval defined by your left and right bounds. However, you can just press . Finally, press  to see the coordinates of the x-intercept at the bottom of the screen.

  26. Enter the Equation Use the  key to enter the left side of the function as Y1 = 120 and the right side of the function as Y2 = 0.55x – 2.886. Set the Window Use the  key to set the window as shown. Set Xscl = 50 and Yscl = 20.

  27. Graph the equations Press the  key to see the graphs. Press  to see the equation of one of the lines. Use the up or down arrow to see the equation of the second line. Use the right arrow  key to get close to the intersection point of the two lines. Note that using  does not necessarily give the exact coordinates of the intersection point.

  28. Find the exact coordinates of the Intersection point Press  to access CALC. A CALCULATE screen appears. Press the  key or cursor down to 5: intersect and press . You are brought back to the graph screen.

  29. You must select a First curve to tell the calculator which of the lines you want to use for the intersection. Press . Next you must select a Second curve to tell the calculator which second curve to use for the intersection. Use the up or down arrow key to move to the other line. Press . Next, you must enter a Guess. You can enter a value or use the arrow keys to move close to the point of intersection. Finally, press  to see the coordinates of the Intersection at the bottom of the screen.

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