MATH107Quiz5SOLNS.pdf - MATH 107 QUIZ 5 SOLUTIONS October,...

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MATH 107 QUIZ 5 SOLUTIONSOctober, 2017Instructor: S. Sands1. (4 pts) Which of these graphs represent a one-to-one function?Answer(s):(no explanation required.)(There may be more than one graph that qualifies.)D(A)Not a function (vertical linecrosses graph more than once),so not a one-to-one function.(B)There are horizontal linescrossing the graph more thanonce.(C)Thehorizontal liney= 3intersects the graph morethan once.(D)No vertical or horizontalline crosses the graphmore than once, so thegraph represents afunction, and also is aone-to-one function.
2. (6 pts) Students in a math class took a final exam (with a grade scale of 0 to 100) and then took equivalentforms of the exam at monthly intervals thereafter. The average gradegaftertmonths was found to be given bythe functiong(t) = 73-4.8 ln(t+ 1),t(Note that "ln" refers to the natural log function)(explanation optional)Using the model,(a) What was the average grade when the students initially took the exam, whent= 0?0.
(b) What was the average grade on the exam when taken 3 months later, to the nearest integer?
3. (4 pts)Convert to a logarithmic equation: 4x= 512.C
A.logg2872g1876=512B.logg30514=512C.g1812g1815g1807g2781g2782g2778g2779=g2206The base is 4. The value of the log is the exponentD.logg3051512=4x.
4.(8 pts)Solve the equation.Checkall proposed solutions.Show work in solving and in checking, and state yourfinal conclusion.[section 0.9, 5.3]2
5. (8 pts)(a)logg2871g28741=0because360= 1. For any baseb,log 1b(b)Letg1876=logg2871g2874g2869g2869g2870g2877g2874= 0.

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