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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Sales or Navigation Systems The estimated number of navigation systems (in millions) sold in North America, Europe, and Japan from 2002 through 2006 follow. Here t = 0 corresponds to 2002.

Systems Installed, y   3.9 4.7 5.8 6.8 7.8
Year, t   0 1 2 3 4
  1. a. Plot the annual sales (y) versus the year (t).
  2. b. Draw a straight line L through the points corresponding to 2002 and 2006.
  3. c. Derive an equation of the line L.
  4. d. Use the equation found in part (c) to estimate the number of navigation systems installed for 2005. Compare this figure with the estimated sales for that year.

(a)

To determine

To plot: The annual sales versus the year graph.

Explanation

A table of year in which sale is estimated and systems installed is given below.

Systems Installed, y3.94.75.86.87.8
Year, t01234

Here, t=0 represents 2002, t=1 represents 2003, and so on.

Thus, the ordered pairs are (0,3.9) , (1,4

(b)

To determine

To sketch: A straight line L through the points corresponding to 2002 and 2006.

(c)

To determine
The equation of the line L.

(d)

To determine
The number of navigation systems installed for 2005 and compare the number with given estimated numbers for the year 2005.

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