Direct Variation Worksheets
How to Spot Direct Variation in Data Sets We know so may quantities that increase at a constituent rate. For example, driving your car at a consistent rate or if you save money weekly, then your savings increase at a consistent rate. If we graph these consistent values, we will get a linear equation. Here we will study the direct variation. In a direct variation, two quantities, like hours and pay, or distance and tie, decrease or increase at a constituent rate. The consistent rate that increases and decreases are known as the constant of variation. One way of spotting direct variation is by data sets. In the table given below, we will study the consistent rate of your weekly savings of $50. As this is a direct variation, we assume that you start with zero saved money. (Week| Amount) Data = 0, 0 - 1, $50 - 2, $100 - 3, $150 - 4, $200 - 5, $250. We can notice two key points about this table: 1. At the start, you have $0 at week 0. Hence, it is the first entry of the table, and it will be the first entry of any direct variation table. 2. Each week you save $50, and the amount increases by $50 at the end of every week. $50 is also known as the constant of variation as it tells us how much is being saved by the end of every week.
Basic Lesson
Demonstrates the concept of variations and the use of cross multiplication. Practice problems are provided. "x varies directly with y". If x = 5 when y = 15, find y when x = 6. The formula for direct variation is y = kx, where k is the constant of variation.
Intermediate Lesson
Explores the use of data charts that exhibit variation. Practice problems are provided. In the following chart, does one variable vary directly with the other?
Independent Practice 1
Contains 20 Direct Variation problems. Example: If 120 calories in 100 grams of a chocolate. About how many calories were in 150 grams of the chocolate that if the number of calories varies directly with the weight of the chocolate. The answers can be found below.
Independent Practice 2
Features another 20 Direct Variation problems.
Homework Worksheet
Example problems are provided and explained. Example: Write equation which represents: p varies directly with q, if p = 9 when q = 27?
10 Direct Variation problems. A math scoring matrix is included.
Homework and Quiz Answer Key
Answers for the homework and quiz.
Lesson and Practice Answer Key
Answers for both lessons and both practice sheets.
Quote From: Anonymous
"Algebraic symbols are used when you do not know what you are talking about."
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Chapter 9, Lesson 5: Direct Variation
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Chapter 3, Lesson 4: Direct Variation
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Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self-Check Quizzes. Common Core State Standards Supplement, SE Hotmath Homework Help Math Review Math Tools Online Calculators Multilingual eGlossary Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. Algebra 1. Chapter 3, Lesson 4: Direct Variation ...
The variable y varies directly as x, and y= -12 when x= 10. What is the constant of variation? (as a fraction) y=900/x. The variable y varies inversely with x. If y= 75 when x= 12, write an equation that relates the variables. 1/6. If y varies directly as x and y= 6 when x=36, find the constant of variation (as a fraction) direct.
a=900/b. The variable a varies inversely with b. If a= 75 when b= 12, write an equation that relates the variables. (y=k/x) 1/6. If y varies directly as x and y= 6 when x=36, find the constant of variation (as a fraction) Study with Quizlet and memorize flashcards containing terms like direct variation, inverse variation, direct variation and more.
In the table given below, we will study the consistent rate of your weekly savings of $50. As this is a direct variation, we assume that you start with zero saved money. (Week| Amount) Data = 0, 0 - 1, $50 - 2, $100 - 3, $150 - 4, $200 - 5, $250. We can notice two key points about this table: 1. At the start, you have $0 at week 0.
Standardized Test Practice Vocabulary Review Lesson Resources ... Personal Tutor Self-Check Quizzes. Hotmath Homework Help Math Tools Multilingual eGlossary Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. New York Algebra 1. Chapter 3, Lesson 4: Direct Variation. Extra Examples; Personal Tutor;
direct variation. Then find each value. 4. If y = 8 when x = 3, find y when x = 45. 5. If y = -4 when x = 10, find y when x = 2. 6. If y = 27 when x = 8, find y when x = 11. 7. Find y when x = 12, if y = 2 when x = 5. 8. ... Lesson 3 Skills Practice Equations in y = mx Form Direct variation. $0.082 per $1
Lesson 9-4 Homework Practice Direct Variation Determine if the relationship between the two quantities is a direct variation. 1. 2. Determine whether the linear relationship is a direct variation. If so, state the constant of variation. 3. x 3 6 9 12 y 120 90 60 30 4. x 2 4 6 8 y -5 -10 -15 -20 5.
Example 1: Solve each direct variation problem. If y varies directly with x and y = 12 when x = 4, find y when x = 7. Step 1) Write the variation equation: k = y/x. k = y x Step 2) Substitute in for the given values and find the value of k: At the beginning of the problem, we are told that y = 12, when x = 4.
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Lesson 9 Homework Practice Direct Variation 1. HOME THEATER The number of home theaters a company sells ... Determine whether each linear function is a direct variation. If so, state the constant of variation. 4. Gallons, x 6 8 10 12 Miles, y 180 240 300 360 5. Time (min), x 10 11 12 13
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9. F (x) 1.5 0.25 3.75 4. 8. Lesson 5 Homework Practice Answer Key Chapter 5: Functions and Inverse Variation - 10. (a) Explain why m=9. (b) Give an equation for the curve in Figure 1-1. (c) Write the direct variation equation and the inversed variation equation for the line. 1 •••••••••â ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self-Check Quizzes. Common Core State Standards Supplement, SE Hotmath Homework Help Math Tools Multilingual eGlossary Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. New York Algebra 1. Chapter 3, Lesson 4: Direct Variation ...
Standardized Test Practice Vocabulary Review Lesson Resources ... Personal Tutor Self-Check Quizzes. Hotmath Homework Help Math Review Math Tools Multilingual eGlossary Online Calculators Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. Illinois Algebra 1. Chapter 3, Lesson 4: Direct Variation. Extra Examples; Personal Tutor;
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Standardized Test Practice Vocabulary Review Lesson Resources ... Personal Tutor Self-Check Quizzes. Hotmath Homework Help Math Review Math Tools Multilingual eGlossary Visual Vocabulary Cards ... Math Connects: Concepts, Skills, and Problem Solving, Course 3. Chapter 9, Lesson 5: Direct Variation. Extra Examples; Personal Tutor; Self-Check ...
California Standards Practice (STP) Vocabulary Review Lesson Resources Extra Examples Personal Tutor Self-Check Quizzes. Hotmath Homework Help Math Review Math Tools Multilingual Glossary Online Calculators Study to Go. Mathematics. Home > Chapter 4 > Lesson 2. California Algebra 1: Concepts, Skills, and Problem Solving. Chapter 4, Lesson 2 ...
Standardized Test Practice Vocabulary Review Lesson Resources Extra Examples ... Self-Check Quizzes. Common Core State Standards Supplement, SE Hotmath Homework Help Math Review Math Tools Online Calculators Multilingual eGlossary Study to Go. Mathematics. Home > Chapter 3 > Lesson 4. Oklahoma Algebra 1. Chapter 3, Lesson 4: Direct Variation ...