Direct Variation How else could we have solved for k?

Slides:

Advertisements

Similar presentations

Lesson 12.1 Inverse Variation pg. 642

Advertisements

Solving systems of equations with 2 variables Word problems (Number Problems)

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

EXAMPLE 2 Graph direct variation equations Graph the direct variation equation. a.a. y = x 2 3 y = –3x b.b. SOLUTION a.a. Plot a point at the origin. The.

 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.

3.4 – Slope & Direct Variation. Direct Variation:

Solving quadratic equations Factorisation Type 1: No constant term Solve x 2 – 6x = 0 x (x – 6) = 0 x = 0 or x – 6 = 0 Solutions: x = 0 or x = 6 Graph.

Write and graph a direct variation equation

6.8 –Systems of Inequalities. Just like systems of equations, but do the inequality part!

3.2 – Solving Linear Equations by Graphing. Ex.1 Solve the equation by graphing. x – y = 1.

Unit 1 Test Review Answers

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

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Direct and Inverse Variations Direct Variation When we talk about a direct variation, we are talking about a relationship where as x increases, y increases.

Math Bellwork 12/16/13 – 12/20/13. Bellwork 12/16/13 Find the equation of the line

3.5 – Solving Systems of Equations in Three Variables.

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

9-4 Variation Direct Variation Inverse Variation Joint Variation.

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

3.6 Solving Absolute Value Equations and Inequalities

Warm Up Week 5 Solve if x = 6, and 4: Does x=6 make the answer larger or smaller than x=4?

5.2 – Solving Inequalities by Multiplication & Division.

Solving Open Sentences Involving Absolute Value

NATURAL LOGARITHMS. The Constant: e e is a constant very similar to π. Π = … e = … Because it is a fixed number we can find e 2.

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

Direct variation Y = mX. Y X number of sessions Cost ($) The cost of private gymnastic lessons (y) varies.

§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.

Direct Variation y = mx (no b) Lines that go through the origin Y intercept of zero Slope also called constant of variation (variation constant)

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

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.

Section Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

2.2 Direct Variation. Identifying Direct Variation From Tables For each function, determine whether y varies directly with x. If so, what is the constant.

 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.

Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.

The Substitution Method Objectives: To solve a system of equations by substituting for a variable.

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.

Exponential Functions are functions which can be represented by graphs similar to the graph on the right.

3.3 – Solving Systems of Inequalities by Graphing

Direct Variation.

Algebra 1 Section 4.5 Solve direct variation problems

5-2 Direct Variation What is Direct Variation?

Linear Equations and Rational Equations

Exponential Functions are functions which can be represented by graphs similar to the graph on the right.

Solve and Graph: 2

5-2 Direct Variation.

Equation Review Given in class 10/4/13.

USING GRAPHS TO SOLVE EQUATIONS

Factoring a Quadratic Expression

Solving equations Mrs. Hall.

8-5 Variation Functions Recognize and solve direct and joint variation problems. Recognize and solve inverse and combined variation problems.

Chapter 5: Graphs & Functions

5.1 Solving Systems of Equations by Graphing

Systems of Equations Solve by Graphing.

Equation Review.

Graphical Solutions of Trigonometric Equations

5.3 – direct variation Textbook pg. 301 Objective:

Drawing Graphs The straight line Example

8.2 Solving by Substitution

Model Direct Variation

Chapter 5: Graphs & Functions

Objectives: To graph lines using the slope-intercept equation

Solving a System of Linear Equations

Trigonometric Equations

Use Graphs of Functions

Bellwork Graph on a number line 1.) x < 4 2.) y ≥ -2 3.) x ≤ 0

Presentation transcript:

Direct Variation How else could we have solved for k? Write an equation of direct variation that includes the given point: (6,3) (7,10)

Direct Variation How else could we have solved for k? Write an equation of direct variation that includes the given point: (6,3) (7,10) (4,1/2)

Direct Variation How else could we have solved for k? Write an equation of direct variation that includes the given point: (6,3) (7,10) (4,1/2) (2/3,4/5)

Direct Variation The graph for a direct variation equation will look similar to this:

Direct Variation Blue is when the constant of variation is larger, black is when the constant of variation is smaller.