MATH 107 QUIZ 5 SOLUTIONSOctober, 2018Instructor: S. Sands1. (4 pts) Which of these graphs represent a one-to-one function?Answer(s):A(no explanation required.)(There may be more than one graph that qualifies.)(A)No vertical or horizontal linecrosses the graph more thanonce, so the graph representsa function, and also is a one-to-one function.(B)Not a function (verticalline crosses graph morethan once), so not a one-to-one function.(C)The horizontal liney=−3intersects the graph more thanonce(D)There are horizontallines crossing the graphmore than once.2. (6 pts) Based on data about the growth of a particular species of trees, the following logarithmic modelabout these trees was determined:h(t) = 6.2(ln(t) + 1),wheret= age of tree in years andh(t) = height of tree, in feet.(Note that "ln" refers to the natural log function)(explanation optional)Using the model,(a) At age 5 years, how tall is this type of tree, to the nearest tenth of a foot?h(5) = 6.2 ( ln(5) + 1)6.2 (2.6094)16.2The model estimates that the 5-year-old tree will be 16.2 feet tall.(b) At age 20 years, how tall is this type of tree, to the nearest tenth of a foot?h(20) = 6.2 ( ln(20) + 1)6.2 (3.9957)24.8The model estimates that the 20-year-old tree will be 24.8 feet tall.3. (4 pts)Convert to a logarithmic equation: 8x= 128.(no explanation required)3.CA.log?128 = 8B.log8? = 128C.𝐥𝐨𝐠𝟖??𝟖 = 𝒙The base is 8. The value of the log is the exponentx.D.log?8 = 128