5-5 Direct Variation. Ex. 1 Is Direct Variation?

Slides:

Advertisements

Similar presentations

Lesson 5-5 Direct Variation

Advertisements

5-5: Direct Variation.

2-3 Direct Variations.

Write and graph a direct variation equation.

Direct Variation 5-2.

Equations of proportional relationships

7.1 – Multiplying Monomials. x · x = x 1 · x 1 =

Direct Variation.

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

Essential Question: What does the k represent in a direct variation?

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

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

5.5: Direct Variation. A function in the form y = kx, where k ≠ 0, is a direct variation. The constant of variation k is the coefficient of x. The variables.

Representing proportional relationships with equations.

Warm Up Exercise  Solve each equation for the given variable: (1) V = LWH solve for W (2) A = ½ BH solve for H (3) ax + by = 0 solve for y.

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

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.

Inverse Variations Lesson 11-6.

 Direct Variation Function – A function that can be modeled with the equation y = kx.

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.

Direct Variation Section 1.9.

5-4 Review Notes: Writing a Function Rule 5-5 Review: Direct Variation

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

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

DIRECT VARIATION GOAL: WRITE AND GRAPH DIRECT VARIATION EQUATIONS Section 2-6:

Direct Variation iRespond. 1. Which graph represents a direct variation? A.) Graph A B.) Graph B C.) Graph C D.) Graph D A B C D.

Chapter 12 Rational Expressions and Functions 12 – 1 Inverse Variation If you are looking at the relationship between two things and one increases as the.

SECONDARY ONE 6.1a Using Substitution to Solve a System.

2.3 - Direct Variation.

Warm Up 1) Find the slope of a line that goes through the points (-3, 5) and (11, -2) 2) Write the equation of a horizontal line that goes through the.

Using y = 8x, what is the value of x if y = 72? Complete the table of values for 4x = y X0123 Y.

Direct Variation y = kx. A direct variation is… A linear function Equation can be written in the form; y = mx ; m  0 ory = kx ; k  0 The y-intercept.

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.

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.

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

Inverse Variation Lesson 11-1 SOL A.8. Inverse Variation.

Direct Variation A Type of linear function. Save for Monday 1.Find the rate of change, interpret in context! a)b) 2.

Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.

Definitions of the Day (DODs) 11.1 – Inverse Variation (Please have a calculator) Inverse Variation Constant Of Variation.

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.

Proportionality using Graphs and Tables

3.4 Direct Variation How can you solve problems involving direct variation?

Mathematical Relationships

2.2 Direct Variation P68-70.

Inverse & Joint Variation

Lesson 5-5 Direct Variation

2.3: Direct Variation Objective: Determine if a function is a direct variation function.

5-2 Direct Variation.

2.3: Direct Variation Objective: Determine if a function is a direct variation function.

Warm Up 1. Points (7, y) and (1, 3) are on a line that have a slope of 2/5 . Find the value of y. 2. Which of the following equations represent a direct.

Algebra November 12, Direct Variation Objective:

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

Lesson 5-2 Direct Variation

Warm Up: Solve the Equation 4x2 + 8x – 32 = 0.

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

Direct & Inverse Variation

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

2.3: Direct Variation If a man does not keep pace with his companions, perhaps it is because he hears a different drummer. Let him step to the music which.

Proportionality using Graphs and Tables

Old Thoughts…… Proportional relationships have a constant ratio, or unit rate. The graph of a proportional relationship is a straight line that passes.

Mathematical Relationships

LESSON 12-1 INVERSE VARIATION

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

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

x − 7 = 13 m − 9 = −13 m + 4 = −12 Ticket in the Door

Lesson 2-3 Direct Variation

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

Presentation transcript:

5-5 Direct Variation

Ex. 1 Is Direct Variation?

Your Practice Is 3y + 4x = 8 an example of direct variation? No, does not equal zero.

Ex. 2 Writing an Equation

Your Practice

Ex. 3 Story Problems Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see lightning, you are about 2 miles from the lightning. Write an equation for the relationship between time and distance. Whatever comes before “varies directly” is y – y = 2 Whatever comes after “varies directly” is x – x = 10 Put into y = kx to find k and write equation – 2 = k(10) – 2 = 10k – – 1 = k –5–5 So y = 1/5k

Your practice

Ex. 4 Direct Variation and Tables xyy/xdecimal / / / /6-0.75

Your Practice Is the table show direct variation and if so, what is the equation? Check y/x and decimal to be the same k = 1.8 y = 1.8x xy y/xdecimal 5.4/ / /121.8