Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 5.4 Proportions and Problem Solving.

Slides:



Advertisements
Similar presentations
6.1 – Ratio and Proportion Ratio: is the quotient of two numbers or quantities. The ratio of a number a to a number b can be written several ways. Write.
Advertisements

Factors and Prime Factorization
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.5 Dividing Decimals and Order of Operations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 2.1 Introduction to Fractions and Mixed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 2.4 Multiplying Fractions and Mixed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 10 Graphing Equations and Inequalities.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.4 Solving Percent Problems with Proportions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 3 Adding and Subtracting Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.4 Multiplying Decimals and Circumference of a Circle.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.5 Order, Exponents, and the Order of Operations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 5.4 Dividing Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 4 Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 4 Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.6 Fractions and Problem Solving.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 2.5 Dividing Fractions and Mixed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 2 Multiplying and Dividing Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 2.3 Simplest Form of a Fraction.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 2 Multiplying and Dividing Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Solving Quadratic Equations by Factoring.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.3 Adding and Subtracting Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 5.3 Multiplying Decimals and Circumference of a Circle.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 2 Multiplying and Dividing Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.3 Proportions and Problem Solving.
§ 2.7 Ratios and Proportions. Angel, Elementary Algebra, 7ed 2 Ratios A is a quotient of two quantities. Ratios provide a way to compare two numbers.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Quadratic Equations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 6 Ratio, Proportion, and Triangle Applications.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.7 Operations on Mixed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.6 Fractions and Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 4 Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 6 Geometry.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 1.4 Rounding and Estimating.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.5 Applications of Percent.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.4 Applications of Percent.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.4 Adding and Subtracting Mixed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 5 Percents.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 14 Rational Expressions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.8 Solving Equations Containing Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.2 Solving Percent Problems with Equations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 15 Roots and Radicals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 8 Geometry.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 The Whole Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Order of Operations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 1 The Whole Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 5.2 Adding and Subtracting Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 4 Decimals.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 3 Adding and Subtracting Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Multiplying and Dividing Signed Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 1.5 Multiplying Whole Numbers and Area.
The Inverse Trigonometric Functions (Continued)
Section 9.1 Polar Coordinates
Section R.8 nth Roots; Rational Exponents
Section 2.4 Circles Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Equations Quadratic in Form Absolute Value Equations
Section 8.3 The Law of Cosines
Section 11.8 Linear Programming
Equations Quadratic in Form Absolute Value Equations
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
Section 2.2 The Graph of a Function
Section 2.2 The Graph of a Function
Mathematical Models: Building Functions
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
Section 3.2 The Graph of a Function
Quadratic Equations in the Complex Number System
Properties of Rational Functions
Copyright © 2008 Pearson Prentice Hall Inc.
Copyright © 2008 Pearson Prentice Hall Inc.
The Inverse Trigonometric Functions (Continued)
Presentation transcript:

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 5.4 Proportions and Problem Solving

Martin-Gay, Basic Mathematics, 4ed 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Writing Proportions On a chamber of commerce map of Abita Springs, 5 miles corresponds to 2 inches. How many miles correspond to 7 inches? 7 inches corresponds to 17.5 miles

Martin-Gay, Basic Mathematics, 4ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Writing Proportions The standard does of an antibiotic is 3 cc for every 50- pounds of body weight. At this rate, find the standard dose for a 130-lb woman. The standard dose for a 130-lb woman is 7.8 cc.

Martin-Gay, Basic Mathematics, 4ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Writing Proportions Practice Problem 1 (similar) SOLUTION On an architect’s blueprint, 1 inch corresponds to 12 feet. How long is a wall represented by a 3 ½ inch line on the blueprint? There are feet in the wall. P 347

Martin-Gay, Basic Mathematics, 4ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Writing Proportions An auto mechanic recommends that 3 ounces of isopropyl alcohol be mixed with a tankful of gas (14 gallons) to increase the octane of the gasoline for better engine performance. At this rate, how many gallons of gas can be treated with a 16-ounce bottle of alcohol? 348 Practice Problem 2

Martin-Gay, Basic Mathematics, 4ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Solving Problems by Writing Proportions Practice Problem If a gallon of paint covers 400 square feet, how many gallons are needed to paint a retaining wall that is 260 feet long and 4 feet high? Round the answer up to the nearest whole gallon. 4 feet high 260 feet long

Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE