direct variation 3.6. direct variation direct variation is when two variables can be expressed as...

Direct Variation 3.6

Upload: patrick-lewis

Post on 21-Jan-2016

216 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Direct Variation3.6

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 called the constant of variation

Ex. y = 5x is direct variation while y = x + 5 is not

Page 3: 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

Example 1

Does the equation represent a direct variation? 2x – 3y = 0

-x + y = 4

Page 4: 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

Example 2

Graph a direct variation equation Y=2/3 x

y = -3x

Page 5: 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

Write a direct variation Equation

Start with y = kx Substitute a known x and y Solve for k

Page 6: 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

Example 3

Write the equation for the

direct variation represented

in the graph.

Page 7: 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

Homework

p. 194-195: 3-9 all, 11-21 odd (graph paper and rulers needed), 23-25 all

Direct Proportion Inverse Proportion Direct Proportion (Variation) Graph Direct Variation Direct Proportion Inverse Proportion (Variation) Graph Inverse

Direct Variation Learn the properties of a direct variation equation Graph a direct variation equation Read a direct variation graph to find missing values

22 Direct Variation - MRS. GUERRIEROmrskg.weebly.com/.../47457585/2.2_direct_variation_notes.pdf · 2018-08-30 · September 11, 2015 22 Direct Variation Definition: direct variation

1.10 Variation. Objective Write mathematical models for direct variation, direct variation as an nth power, inverse variation, and joint variation

direct variationinverse variation constant of variationjoint variation combined variation

45 Direct Variation - Bainbridge Island School District€¦ · 45 Direct Variation 1. Identify, write, and graph direct variation. Chefs can use direct variation to determine ingredients

Direct Variation 5-4. Vocabulary Direct variation- a linear relationship between two variable that can be written in the form y = kx or k =, where k

92 direct and inverse variation graphs - kenstonlocal.org · 92 direct and inverse variation graphs Objectives: • To graph direct variation. • To graph inverse variation. •

3.4 – Slope & Direct Variation. Direct Variation:

DIRECT VARIATION TO WRITE AND GRAPH AN EQUATION OF A DIRECT VARIATION

9.5 = Variation Functions. Direct Variation Direct Variation – y varies directly as x

direct variation constant of variation joint variation · •joint variation •inverse variation •combined variation. Direct Variation If y varies directly as x and y =

Main Idea/Vocabulary direct variation constant of variation Use direct variation to solve problems

Direct Variation Mac2

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

2.2 Direct Variation

9.1 – Inverse Variation. VARIATION – Direct Direct Variation is… A relation or function that can be represented by y =kx where k is a constant. For

Direct and Inverse Variation...DIRECT, JOINT, AND INVERSE VARIATION DIRECT VARIATION A linear equation of the form y=kx with k!0 is called direct variation. The variable y varies directly

5-5: Direct Variation. What’s Direct Variation? Direct variation is a function where y = kx, where k ≠ 0 The variables y and x are vary directly with

9-5 Direct Variation - Glencoe · 2009-11-11 · In a direct variation equation, the constant rate of change, or slope, is assigned a special variable, k. Solve a Direct Variation

Section 3-4 Direct and Inverse Variation GoalsGoals Study direct variation Study direct variation Study inverse variation Study inverse variation Study

Direct Variation Math II Unit 7 Functions. Definition: direct variation A direct variation is a function in the form y = kx where k does not equal 0

Test Review: Direct Variation. Rewrite the direct variation equation, y = kx, in terms of “k.” In other words, k = _________. Test Review: Direct Variation

Direct and Inverse Variation Day 2 The general equation for direct variation is k is called the constant of variation. General Equation

4-6 Direct Variation Direct Variation: y = kx k=constant of variation = SLOPE Ex: y = 2x the constant of variation=2 All equations of form y=kx have

16-May-15Created by Mr. Lafferty Maths Dept. Direct Proportion Direct Variation Harder Direct Variation (extension) Direct Proportion

Direct & Partial Variation

Direct inverse variation

Direct and Inverse Variation - RPDPrpdp.net/admin/images/uploads/resource_10621.pdfDIRECT, JOINT, AND INVERSE VARIATION DIRECT VARIATION A linear equation of the form y=kx with k!0

Lesson 5-5 Direct Variation Algebra I, Ms. Turk. Definition: direct variation A direct variation is a function in the form y = kx where k does not equal

Chapter 5.1 Variation – Direct Variation, Inverse Variation and … · 2011-05-19 · 2 Variation – Direct Variation, Inverse Variation and Joint Variation Chapter 5.1 Sometimes

Direct Variation

9.1 Inverse Variation & 2.3 Direct Variation

Slope. Direct Variation What you’ll learn To write and graph an equation of a direct variation. Direct variation and Constant of variation for a direct