Variation and Proportion Direct Proportion. The formula for direct variation can be written as y=kx where k is called the constant of variation.   The.

Slides:

Advertisements

Similar presentations

Direct Variation 5-2.

Advertisements

Warm Up – January 12 from Friday’s Quiz   You must be older than 10 to take this quiz.   Sally said that the inequality statement should be p>10, but.

 The steps to follow to solve a problem with direct variation: 1. Write the equation: y = kx 2. Substitute for x and y 3. Solve for k 4. Rewrite the.

Direct Variation Objective: Students will be able to identify, write and graph direct variation equation.

3.4 – Slope & Direct Variation. Direct Variation:

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.

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.

Variation and Proportion Indirect Proportion. The formula for indirect variation can be written as y=k/x where k is called the constant of variation.

Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that.

Identify, write, and graph an equation of direct variation.

Write and graph a direct variation equation

Direct Variation.

Direct Variation What is it and how do I know when I see it?

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 

ObjectivesExamples DefinitionActivity Prepared by: Michael Lacsina Val de Guzman.

Direct and Inverse Variation

Variation Chapter 9.1. Direct Variation As x increases/decreases, y increases/decreases too. y = kx k is called the Constant of Variation k ≠ 0 “y varies.

Warm-Up 2 1.Solve for y: 2x + y = 6 2.Solve for y: 2x + 3y = 0.

CHAPTER 1.4, DATE_______. DIRECT VARIATION 1. Line through the origin 2. y varies directly as x (as x changes so will y at a constant rate, k) y = kx.

Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.

4.5 Direct Variation What is it and how do I know when I see it?

Direct Variation. Objectives At the end of this presentation, the students should be able to: Know what is direct variation; Be familiarize with the formulas.

I can write and graph an equation of a direct variation by identifying the constant of variation.

Algebra 1 Section 4.2 Slope and Direct Variation.

5-2 Direct Variation A direct variation is a relationship that can be represented by a function in the form y = kx, where k ≠ 0. The constant of variation.

Direct Variation Algebra I Mastery Cate Condon. The store you go into in the mall sells t-shirts. You are looking around and you see that 3 t-shirts cost.

Then/Now You found rates of change of linear functions. (Lesson 3–3) Write and graph direct variation equations. Solve problems involving direct variation.

Slopes and Direct Variation December 9, Review Slope Slope – Rise Run (-1, -4) and (2, 2)

2.4 Writing Equations of Lines. We’ve learned to graph given an equation. Now we’ll learn to write the equation given the graph There are three ways.

2.4 Writing Equations of Lines p. 91. Learning Target I can write equations of a line.

2.3 Direct Variation. A linear function in the form of y=kx where k is the constant of variation.

I can write and graph an equation of a direct variation.

Section 4.5 Direct Variation. What happens to Y as X goes up by 1?

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 Solve for y: 1) 2). HW Check 4.7 CORE Time Complete the Puggly Wuggly Worksheet.

Section 1.6 Mathematical Modeling

Slope and Direct Variation Mr Smith. By the end of this…  You should know what direct variation is, why it is important, and how you could use it. 

Chapter 4: Systems of Equations and Inequalities Section 4.1: Direct Variation.

 The steps to follow to solve a problem with direct variation: 1. Write the equation: y = kx 2. Substitute for x and y 3. Solve for k 4. Rewrite the.

+ Directly Proportional. + Directly proportional: as one amount increases, another amount increases at the same rate. Hence, the straight line when we.

Writing a direct variation equation. write a direct variation problem when y = 20 and x = 10 y = kx 20 = k·10 k = 2 y = 2x.

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.

5.5 Direct Variation Pg Math Pacing Slope Review.

Direct Variation 88 Warm Up Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. 1. y – 3 =

9.1 Inverse & Joint Variation p.534 What is direct variation? What is inverse variation? What is joint variation?

What do you guess?. # of hours you studyGrade in Math test 0 hour55% 1 hour65% 2 hours75% 3 hours95%

Lesson 5.2 Direct Variation Direct variation y = kx Where k is the constant of variation.

Notes Over 11.3 Using Direct and Inverse Variation When x is 4, y is 5. Find the equation that relates x and y in each case. Direct Variation Two quantities.

Direct, Inverse & Joint Variation Section 2.5. Direct Variation 2 variables X & Y show direct variation provided y = kx & k ≠ 0. The constant k is called.

Direct Variation If two quantities vary directly, their relationship can be described as: y = kx where x and y are the two quantities and k is the constant.

DIRECT VARIATION September 8 & 9,

How to Write an Equation of a Line Given TWO points

Direct Variation.

Variation Objectives: Construct a Model using Direct Variation

Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz

Direct Variation Lesson 2-3.

Warm Up Solve each proportion. = = 1. b = y = 8 = = m = 52

Lesson 5-5 Direct Variation

5-2 Direct Variation What is Direct Variation?

Variation and Proportion

Solve and Graph: 2

Warm Up – August 14, 2017 Solve for y. 3 + y = 2x 6x = 3y

Variation and Proportion

Objective Identify, write, and graph direct variation.

What is it and how do I know when I see it?

ALGEBRA TWO Section Writing Equations of Lines

5.5 Direct Variation Pg. 326.

Lesson 2-3 Direct Variation

Variation and Proportion

Presentation transcript:

Variation and Proportion Direct Proportion

The formula for direct variation can be written as y=kx where k is called the constant of variation.   The steps to follow to solve a problem with direct variation: Write the equation: y = kx Substitute for x and y Solve for k Rewrite the equation with k as the constant

Problem: Find an equation of direct variation where y varies directly as x. One pair of values is y = 35 when x = Write the equation: y = kxy = kx Substitute for x and y35 = k(7) Solve for k5= k Rewrite the equation with k y = 5x as the constant

Problem: The cost of operating a TV varies directly as the number (n) of hours it is in operation. It costs $60.00 to operate a standard size color TV continuously for 30 days.   y = cost; x = number of hours y = kx = k(30) /30 = k, or k = 2   Equation: y = 2x

Practice Problems: Answers 1. y = 28 when x = 7  Equation: y = 4x 2. y = 30 when x = 8  Equation: y = 15/4x 3. y = 400 when x = 125  Equation: y = 16/5x 4. y = 630 when x = 175  Equation: y = 18/5x

Practice Problems: Answers (Continued) 5. The number (b) of bolts a machine can make varies directly as the time it operates. It can make 6578 bolts in 2 hours. How many bolts can it make in 5 hours?  Set up a proportion:  6578/2 = x/5  x = 16445