MATH 107 QUIZ 5 SOLUTIONSFebruary, 2018Instructor: 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.)A(A)No vertical or horizontal linecrosses the graph more thanonce, so the graph represents afunction, and also is a one-to-one function.(B)Thehorizontal liney=intersects the graph morethan once.(C)Not a function (verticalline crosses graph morethan once), so not aone-to-one function.(D)There are horizontal linescrossing the graph more thanonce.−3
2. (6 pts) Based on data about U.S. households, the following logarithmic model was determined:f(t) = 4645.3 ln(t)−35240,wheret= year andf(t) = number of U.S. households with cabletelevision, in millions of households.(Note that "ln" refers to the natural log function)(explanation optional)Using the model,(a) How many U.S. households had cable television in the year 1995, to the nearest million?≈57
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(b) How many U.S. households had cable television in the year 2005, to the nearest million?≈80
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3. (4 pts)Convert to a logarithmic equation: 9x= 243.(no explanation required)[section 6.1]3.A.log$% = 243B.*+,-./0 = 1The base is 9. The value of the log is the exponentC.log29 = 243D.log2243 = 9Bx.