Section 3.6 Applications of Linear Equations and Modeling 251 Expanding Your Skills For Exercises 61–64, write an equation in slope-intercept form for the line shown. 61. 62. 5 y 1 21 63. 64. Applications of Linear Equations and Modeling Section 3.6 y x 45,000 40,000 35,000 30,000 25,000 20,000 15,000 5 y 1 21 5 y 1 21 Number of Tigers in India by Year 10,000 0 0 15 30 45 60 75 90 105 120 5 y 1 21 um er o i ers Year (x 5 0 re resents the ear 1900) 5,000 y 5 2350x 1 42,000 1 2 3 4 5 22 23 24 25 x 4 3 2 1 2 3 4 5 2524 232221 22 23 24 25 x 4 3 2 2524 232221 1 2 3 4 5 22 23 24 25 x 4 3 2 1 2 3 4 5 2524 232221 22 23 24 25 x 4 3 2 2524 232221 1. Interpreting a Linear Equation in Two Variables Linear equations can often be used to describe (or model) the relationship between two variables in a real-world event. Interpreting a Linear Equation Example 1 Since the year 1900, the tiger population in India has decreased linearly. A recent study showed this decrease can be approximated by the equation y 350x 42,000. The variable y represents the number of tigers left in India, and x represents the number of years since 1900. Concepts 1. Interpreting a Linear Equation in Two Variables 2. Writing a Linear Model Using Observed Data Points 3. Writing a Linear Model Given a Fixed Value and a Rate of Change
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