Chapter 2

miller_intermediate_algebra_4e_ch1_3

127 Linear Equations in Two Variables and Functions 2 CHAPTER OUTLINE 2.1 Linear Equations in Two Variables 128 2.2 Slope of a Line and Rate of Change 145 2.3 Equations of a Line 157 Problem Recognition Exercises: Characteristics of Linear Equations 171 2.4 Applications of Linear Equations and Modeling 171 2.5 Introduction to Relations 183 2.6 Introduction to Functions 192 2.7 Graphs of Functions 204 Problem Recognition Exercises: Characteristics of Relations 217 Group Activity: Deciphering a Coded Message 218 Chapter 2 In this chapter, we cover graphing and the applications of graphing. Graphs appear in magazines and newspapers and in other aspects of day-to-day life. In many fields of study such as the sciences and business, graphs are used to display data (information). Are You Prepared? Try answering questions 1–5 below. These problems will refresh your skills at reading and interpreting graphs. Match each answer with the correct letter and record the letter in the space below. 1. Use the graph to approximate the average height of a 5-yr-old girl. 2. Use the graph to estimate a girl’s age if her height is 39 in. tall. 3. The equation h 2.5a 31 can be used to approximate a girl’s height, h, in inches according to her age, a, in years. Use the formula h 2.5a 31 to estimate a girl’s height at 6 yr old. 4. Use the formula h 2.5a 31 to estimate the age of a girl if her height is 50 in. 5. Use the formula h 2.5a 31 to predict the height of an 11-yr-old girl. Average Height for Girls, Ages 2–9 60 50 40 30 20 10 0 0 1 2 3 4 5 6 7 8 9 10 Height (in.) Age (yr) A graph intersects the x-axis at an ___ - ___ ___N ___ ___ ___R ___ ___ ___P ___. 1 2 4 3 5 3 4 T. 7.6 yr E. 46 in. I. 3 yr X. 44 in. C. 58.5 in.


miller_intermediate_algebra_4e_ch1_3
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