Module 6: Lesson 1

 

Self-Check 4

  1. Question 9 on page 356 of the textbook

    1. The 0.79 represents the 79% of the drug that remains after every interval of time (in this case, that interval of time is every 3 h).
    2. A possible sketch of the graph follows.

       
      The graph shows a curve of M of h equals 100 times 0.79 to the exponent left bracket h over 3 right bracket. The graph is an exponential decay, with a y-intercept of (0, 100) and a horizontal asymptote at x = 0.
      Source: Pre-Calculus 12.
      Whitby, ON: McGraw-Hill Ryerson, 2011.
      Reproduced with permission.


    3. The M-intercept represents the amount of the drug that was initially taken (that is, the standard dose).
    4. The domain of the graph is {h|h ≥ 0, h ∈ R}. The range of the graph is {M|0 < M ≤ 100, M ∈ R}.


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