Section%201.5

# Section%201.5 - Section 1.5 Linear Equations, Functions,...

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Math 1513 Sec 1.5 1 Section 1.5 Linear Equations, Functions, Zeros, and Applications Mathematical techniques are used to answer questions arising from real-world situations. Many times linear equations and functions model these situations. If we can set up the equation and solve it, we have solved the real-world problem. The problems are varied and sometimes involve knowing some basic facts about the problem. All the problems can be solved using the Five Steps for Problem Solving on page 133. Example 1: In a triangle with vertices A, B, and C. Angle B is twice as large as angle A and angle C is 3 times as large as angle A. What is the measure of each angle? In order to solve this problem, we need to know a fact from geometry, namely that the sum of the measure of the angles of a triangle is 180 degrees. Therefore, A + B + C = 180 From the statement of the problem, we know that: B = 2A and C = 3A If we substitute these facts into the original equation we get: A + B + C = 180 A + 2A + 3A = 180 6A = 180 A = 30 Therefore, angle A is 30 degrees, angle B is 60 degrees, and angle C is 90 degrees.

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Math 1513 Sec 1.5 2 Example 2: Two cars A and B leave from the same point and travel in the same direction. Car A leaves the point and travels at 55 mph. Ten minutes later car B leaves the point traveling at 65 mph.
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## This note was uploaded on 10/18/2011 for the course MATH 1513 taught by Professor Staff during the Fall '08 term at Oklahoma State.

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Section%201.5 - Section 1.5 Linear Equations, Functions,...

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