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Purdue MA 11100 - Lesson 15
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Lesson 15, Section 2.5 (part 2)More Application Problems:1) In 1997, 10% of the homes in the U.S. had more than one (multiple) computers. By 2001, this percent had increased to 24.4%. Let t represent the number of years since 1997 and P(t) represent the percent of U.S. homes with multiple computers. Assume that this data is a linear pattern.a) Write the appropriate data points (t, P)b) Find the rate of change (slope).c) Write a linear function, P(t) = mt + bd) Use your linear function to predict what percent of U.S. homes had multiple computers in 2005.e) Use your function to predict what year the percent of homes with multiple computers is about 50%.f) If this trend continues, when will all U.S. homes have multiple computers?2) In 1999 about 48 million Americans used the Internet to find some travel information. By 2003, that number had grown to about 64 million Americans. If N(t) represents the number (in millions) of Americans using the Internet to find some travel information and t represents the number of years after 1999, find the following.a) Find a linear function to fit this data.b) What does the slope of this function represent?What does the y-intercept of this function represent?3) Suppose that 6.5 million pounds of coffee are sold when the cost is $8 per pound, and 4.0 million pounds are sold when it is $9 per pound. Let p = number of pounds sold (in millions) and C = cost per pound.a) List the data points (p, C) for this data.b) Find a linear equation for these data points.c) Use this linear equation to predict how many pounds will be sold when the cost is $6 per pound.d) How many pounds would be sold if the cost per pound was raised to $12? What does this mean?e) What is the maximum number of pounds of coffee (assuming enough could be grown) that could be sold without giving the coffee away free?Parallel & Perpendicular Lines:Parallel lines are lines in the same plane that do not intersect.Perpendicular lines are lines in the same plane that intersect at 90 degree angles.Describe whether the following pairs of slopes would make the lines parallel, perpendicular, or neither.A323221mmB522521mmC4421mmD344321mmTwo lines are parallel, if they have the same slope.Two lines are perpendicular if the product of their slope is -1 or if one line is horizontal and the other vertical.(Slopes would be Opposite Reciprocals.)4) Determine if the following two lines would be parallel.Line 1: contains the points (12, -2) and (-6, 7)Line 2: 221)(  xxf5) Determine if the following two lines would be perpendicular.Line 1: contains the points (1, 1) and (-2, 2)Line 2: 1226  yx6) Given a linear function 3243)(  xxga) Find the slope of any parallel line.b) Find the slope of any perpendicular line.For this group of problems, find the equation or function for each line described.7) Line contains the point (1, 4) and is parallel to the line 723  yx.8) Line contains the point (-3, -2) and is perpendicular to the line 483)(  xxf.9) Line contains the point (0, -7) and is perpendicular to the line 34  yx.10) Line contains the point (5, -2) and is perpendicular to the line y =


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Purdue MA 11100 - Lesson 15

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