# How many U.S. households had cable television in the year 1999, to the nearest million?

The quiz is worth 100 points, and there is an extra credit opportunity at the end. There are 10 problems. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). You may take as much time as you wish, provided you turn in your quiz no later than Sunday, October 4.

• Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also.

In your document, be sure to include your name and the assertion of independence of work.

• General quiz tips and instructions for submitting work are posted in the Quizzes module.
1. (4 pts) Which of these graphs represent a one-to-one function? Answer(s): __A, B, D_____

(no explanation required.)  (There may be more than one graph that qualifies.)

1. (6 pts) Based on data about U.S. households, the following logarithmic model was determined:

f(t) = 4645.3 ln(t) – 35240,  where  t = year and f (t) = number of U.S. households with cable television, 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 1999, to the nearest million?

(b) How many U.S. households had cable television in the year 2010, to the nearest million?

1. (4 pts)  Convert to a logarithmic equation: 8x = 4096.      (no explanation required) 2.     ___
2. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in chec