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MF-23-Virus

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BC: Imagine that John saw Dr. Bones a day earlier and received a shot then, how do you think that would affect your results? | I believe that if John saw Dr. Bones a day earlier and received a shot then, the results would be very different. I believe that his virus count would not have increased so much and that he would have been cured much sooner than 130 minutes.

FC: Question 23 ~Flu Viruses~ | Created by: Melanie Flanagan

1: Question 23: S. Bones is a doctor in Deathly, Ill., a suburb of Chicago. One day, John Garfinkle comes in with a high fever. Dr. Bones takes a blood sample and finds that it contains 1300 flu viruses per cubic millimeter and is increasing. John immediately gets a shot of penicillin. The virus count should continue to increase for a while, then (hopefully!) level off and go back down. After 5 minutes the virus count is up to 1875, and after 5 more minutes, it is 2400. Assume that the virus count varies quadratically with the number of minutes since the shot. - Write an equation expressing the number of viruses per cubic millimeter in terms of the number of minutes since the shot. - Dr. Bones realizes that if the virus count reaches 4500, John must go to the hospital. Must he go? Explain. - According to your model, when will his flu be completely cured? Explain. - What is the range and domain of this quadratic function? -Imagine that John saw Dr. Bones a day earlier and received a shot then, how do you think that would affect your results?

2: Write an equation expressing the number of viruses per cubic millimeter in terms of the number of minutes since the shot. | By selecting STAT, then EDIT, then placing the time values in L1 and placing the virus count in L2, and then selecting STAT again, and selecting CALC, and choosing option number 5 (QuadReg), you are then able to determine the equation expressing the number of viruses per cubic millimeter in terms of the number of minutes since the shot, which is: y=-1 x^2+120x+1300

3: Dr. Bones realizes that if the flu virus count reaches 4500, John must go to the hospital. Must he go? Explain. | After determining the equation, you are able to view the progression of John's virus count by the minute by selecting the table (2nd-Graph). John must go to the hospital because in 40 minutes, John's virus count will reach 4500 and will not start leveling off and decreasing until 60 minutes have passed.

4: According to your model, when will his flu be completely cured? Explain. | According to my model, which is viewed by selecting 2nd and then Graph on the Graphing Calculator, John's flu will be completely cured after 130 minutes. After 130 minutes have passed, the virus count will have decreased to 0.

5: What is the range and domain of this quadratic function? | The domain of the quadratic function is: {x|x<0} The range of the quadratic function is: {y|0>x<4900}

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  • By: Melanie F.
  • Joined: almost 5 years ago
  • Published Mixbooks: 1
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  • Title: MF-23-Virus
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  • Published: almost 5 years ago

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