We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byAdam Hernandez
Modified over 3 years ago
Lesson 12.1 Inverse Variation pg. 642 Objectives: To graph inverse variation. To solve problems involving inverse variation.
Inverse Variation y varies inversely as x if there is some nonzero constant k such that xy = k
Inverse Variation Problems To solve some inverse variation problems, there are two steps: (1) First find the value of k (2) Use the value of k to find a specific value of x or y
Graphing Inverse Variation To graph inverse variation choose values for x and y whose product is k
Ex. 1: Graphing inverse variation 1)Graph an inverse variation in which y varies inversely as x, and y=1 when x=4
Graph an inverse variation in which y varies inversely as x, and y=-6 when x=-2 y x
Product Rule for inverse variation The product rule x 1 y 1 = x 2 y 2 can be used to solve inverse variation problems.
Ex. 2: Write and inverse variation equation that relates x and y. Assume that y varies inversely as x. Then solve. 1. If y varies inversely as x and y = 5 when x =12, find x when y = 15
2. If y varies inversely as x and y = 8 when x =6, find y when x = 4
Section Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.
Lesson 8-4: Direct, Joint, and Inverse Variation.
Inverse Variation Lesson 11-1 SOL A.8. Inverse Variation.
3.4 – Slope & Direct Variation. Direct Variation:
Inverse, Joint, and Combined Variation Objective: To find the constant of variation for many types of problems and to solve real world problems.
X = Y. Direct variation X 1 X = Y 1 Y 2.
Direct variation Y = mX. Y X number of sessions Cost ($) The cost of private gymnastic lessons (y) varies.
Direct Variation 3.6. Direct Variation Direct Variation is when two variables can be expressed as y=kx where k is a constant and k is not 0. k is.
Warm Up Week 5 Solve if x = 6, and 4: Does x=6 make the answer larger or smaller than x=4?
LESSON 12-1 INVERSE VARIATION Algebra I Ms. Turk Algebra I Ms. Turk.
Direct and Inverse Variation Algebra I. Direct Variation When the line passes through the origin. When y increases, x increases. Equation: y = kx, where.
Variation. Direct Variation if there is some nonzero constant k such that k is called the constant of variation.
§2.5 Model Direct Variation CA Standard 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with.
9-1 Notes. Direct Variation: Two variables, y and x, vary directly if: y = If k is any nonzero constant. Example: The equation: y = 5x exhibits direct.
NOTES 2.3 & 9.1 Direct and Inverse Variation. Direct Variation A function in the form y = kx, where k is not 0 Constant of variation (k) is the coefficient.
Lesson 6-5 Solving Open Sentences Involving Absolute Value.
U SING D IRECT AND I NVERSE V ARIATION D IRECT V ARIATION The variables x and y vary directly if, for a constant k, k 0. y = kx, Objective Lesson 11.3.
2-3 Direct Variations. Direct Variation: y = kx y varies directly with x y varies directly as x k = constant of variation = slope The graph of a direct.
Finding and Using Inverse Functions: Lesson 50. LESSON OBJECTIVE: 1)Recognize and solve direct and joint variation problems. 2)Recognize and solve inverse.
3.8 Direct, Inverse, and Joint Variation Objective: To solve problems involving direct, inverse, and joint variation.
UNIT 2, LESSON 8 VARIATION. THREE TYPES OF VARIATION.
Direct Variation & Inverse Variation (SOL A.8) Chapters 5-2 & 11-6.
9-4 Variation Direct Variation Inverse Variation Joint Variation.
Chapter 3.1 Variation. Other Type of Direct Variation General equation, y = f(x) = kx n y= kx 3 K > 0 y = kx 2 K> 0 = kx K> 0 Inverse Variation y = n.
5-8 Extension: Inverse Variation Lesson Presentation Lesson Presentation.
9.1: Inverse and Joint Variation Objectives: Students will be able to… Write and use inverse variation models Write and use joint variation models.
8-1/2-2 DIRECT AND INVERSE VARIATION. Direct Variation Equation: y = kx Solve for constant “k” k = y/x As x increases, y increases As x decreases, y decreases.
Lesson 12-1 Inverse Variation. Objectives Graph inverse variations Solve problems involving inverse variations.
What You Will Learn Recognize and solve direct and joint variation problems Recognize and solve inverse variation problems.
Lesson 6-9: Variation Objective: Students will: oFind the constant of variation and setup direct and inverse variation equations oUse variation equations.
1 Algebra 2: Section 9.1 Inverse and Joint Variation.
Table of Contents Direct and Inverse Variation Direct Variation When y = k x for a nonzero constant k, we say that: 1. y varies directly as x, or 2. y.
10-1 Inverse Variation 10-2 Rational Functions 10-3 Simplifying Rational Expressions 10-4 Multiplying and Dividing Rational Expressions 10-5 Adding and.
I can write and graph an equation of a direct variation.
EQ: How can you recognize a direct variation equation? EQ: How can you recognize an inverse variation equation? a direct variation graph? an inverse variation.
3.5 – Solving Systems of Equations in Three Variables.
5-4 Review Notes: Writing a Function Rule 5-5 Review: Direct Variation.
11-3: Direct and Inverse Variation Models for Direct and Inverse Variation Direct Variation x y x and y vary directly if for a constant k or “division”
Algebra II. If x varies directly as z and k represents the constant of proportionality, what is the equation that models this variation?
Bellringer. Write and equation for each graph Bellringer.
EXAMPLE 5 Write a joint variation equation The variable z varies jointly with x and y. Also, z = –75 when x = 3 and y = –5. Write an equation that relates.
Inverse Variation What is it and how do I know when I see it?
3.1 Solving Systems By Graphing Or Substitution. * A system of equations is a collection of equations in the same variable. *A solution to a system is.
LAST CHAPTER!!!!!!! Yay!!!!!!!!! 8.1 & 8.2 Direct, Inverse & Joint Variation.
Write and graph a direct variation equation EXAMPLE 1 Write and graph a direct variation equation that has (– 4, 8) as a solution. SOLUTION Use the given.
Joint and Combined Variation Review of Variations Direct Variation Inverse Variation Formula General Equation.
DIRECT and INDIRECT VARIATION ADV130 DIRECT VARIATION: A varies directly as B indicates a direct ratio where 2 things increase or decrease at the same.
Holt McDougal Algebra 2 Variation Functions Holt Algebra 2Holt McDougal Algebra 2 How do we use solve problems involving direct, inverse, joint, and combined.
Inverse Variation (11-1) Identify and use inverse variations. Graph inverse variations.
Direct and Inverse Variation Day 2 The general equation for direct variation is k is called the constant of variation. General Equation.
© 2017 SlidePlayer.com Inc. All rights reserved.