Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 1, Equations and Inequalities - 1.5 Use Problem Solving Strategies and Models - 1.5 Exercises - Skill Practice - Page 37: 2

Answer

See step-by-step solution below.

Work Step by Step

A problem solving strategy helps us to more clearly visualize the problem and make it look like a mathematical equation and then transform it as a mathematical equation. Let's take a real life example. Let's assume we have to calculate how long it takes to drive from one city to another. It is impossible to calculate the exact time without numbers, such as distance to cover and traveling speed. We can assume approximately, but what if we want to know the exact time? In this case we need to convert the real life situation into a mathematical model. Let's assume the following: Total Distance $-$ $500km$ Average Speed $-$ $80km/h$ Time $-$ $Unknown$ The time required for the given information can be denoted using the formula: $$T=\frac{S}{V}$$ $T=\frac{500km}{80km/h}$ $T=6.25h$ $6.25 hours$ = $6h$ and $15m$ By converting the real life situation into a mathematical equation, we are capable of solving problems very easily.
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