Direct and Inverse Variation

9
Direct and Inverse Variation Investigation #1 Ramp height and length vs time

TAGS:

description

Direct and Inverse Variation. Investigation #1 Ramp height and length vs time. Direct vs Inverse. “ y varies directly as x " means… y = kx What does that graph look like? “ y varies inversely as x " means… y = k/x What does that graph look like? What is k? - PowerPoint PPT Presentation

Transcript of Direct and Inverse Variation

Page 1: Direct and Inverse Variation

Direct and Inverse Variation

Investigation #1Ramp height and length vs time

Page 2: Direct and Inverse Variation

Direct vs Inverse

• “y varies directly as x" means… y = kx

What does that graph look like?• “y varies inversely as x" means…

y = k/x What does that graph look like?What is k?

the constant at which the graph “changes”

Page 3: Direct and Inverse Variation

1.) y varies directly with x. If y = -4 when x = 2, find y when x = -6.

2.) y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

Page 4: Direct and Inverse Variation

Direct, Inverse, or Neither?

• g = -7p

• v = f / -3

• d = 9 / r

Page 5: Direct and Inverse Variation

What is the constant of variation (k)?

• u = 5m

• z = -0.3/r

• y = (1/3) f

Page 6: Direct and Inverse Variation

Real life…

(from worksheet)• 26) The electric current I, is amperes, in a

circuit varies directly as the voltage V. When 12 volts are applied, the current is 4 amperes. What is the current when 18 volts are applied?

Page 7: Direct and Inverse Variation

Exponent Rules

• Multiplication means add exponents…Why? x2 x∙ 8

• Division means subtract exponents…Why? X8/x2

• Negative exponents “switch places”…

y x∙ -8

• Power to a power: multiply exponents…Why? (x2)8

Page 8: Direct and Inverse Variation

Radicals, dude

• Treat them like “like terms.”• How would you simplify “3x + 8y – 9x” ?

• Simplify 3√5 + 8 √7 – 9 √5

Page 9: Direct and Inverse Variation

I Can Seymour Math · Web viewIs the relationship between the variables a direct variation, an inverse variation, or neither? Write function a models for the direct and inverse variations.

I Can Seymour Math · Web viewIs the relationship between the variables a direct variation, an inverse variation, or neither? Write function a models for the direct and inverse variations.

...With Direct Variation when x gets larger y gets larger. With Inverse Variation when x gets larger y gets smaller. When x=0 S) .25) DadeÇ'ned I Identifying Direct and Inverse Variation:

...With Direct Variation when x gets larger y gets larger. With Inverse Variation when x gets larger y gets smaller. When x=0 S) .25) DadeÇ'ned I Identifying Direct and Inverse Variation:

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

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

ALGEBRA 2 CHAPTER 8 RATIONAL FUNCTIONS Section 8-1 Direct ... · Section 8-1 Direct and Inverse Variation Objective: Solve problems involving direct, inverse, and combined variation.

ALGEBRA 2 CHAPTER 8 RATIONAL FUNCTIONS Section 8-1 Direct ... · Section 8-1 Direct and Inverse Variation Objective: Solve problems involving direct, inverse, and combined variation.

Section 5.1.1 Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

Section 5.1.1 Direct and Inverse Variation. Lesson Objective: Students will: Formally define and apply inverse and direct variation.

8.1 Inverse Variation - Big Ideas Learning...412 Chapter 8 Rational Functions 8.1 Lesson WWhat You Will Learnhat You Will Learn Classify direct and inverse variation. Write inverse

8.1 Inverse Variation - Big Ideas Learning...412 Chapter 8 Rational Functions 8.1 Lesson WWhat You Will Learnhat You Will Learn Classify direct and inverse variation. Write inverse

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

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

Direct and Inverse Variations Direct Variation Which of these tables models direct variation? If so, write an equation. NO.

Direct and Inverse Variations Direct Variation Which of these tables models direct variation? If so, write an equation. NO.

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.

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.

3.8 Inverse Variation - Big Ideas Math 7/03/g7_03...142 Chapter 3 Proportions and Variation ... Comparing Direct and Inverse Variation 3. ... Inverse Variation Words Graph Two quantities

3.8 Inverse Variation - Big Ideas Math 7/03/g7_03...142 Chapter 3 Proportions and Variation ... Comparing Direct and Inverse Variation 3. ... Inverse Variation Words Graph Two quantities

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

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 Inverse Variation Problems.

Direct Inverse Variation Problems.

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

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

8-1 Inverse Variation - Weeblydraulerson.weebly.com/.../21_-_inverse_variation.pdf · 2018. 8. 30. · As an equation, direct variation has the form y = kx, where k # 0. Inverse variation

8-1 Inverse Variation - Weeblydraulerson.weebly.com/.../21_-_inverse_variation.pdf · 2018. 8. 30. · As an equation, direct variation has the form y = kx, where k # 0. Inverse variation

Rational Functions * Inverse/Direct. Direct Variation What you’ll learn … To write and interpret direct variation equations.

Rational Functions * Inverse/Direct. Direct Variation What you’ll learn … To write and interpret direct variation equations.

Variation Functions - Cobb Learning | Cobb County School ... · Variation Functions A joint variation is a relationship among ... direct variation, an inverse variation, or neither.

Variation Functions - Cobb Learning | Cobb County School ... · Variation Functions A joint variation is a relationship among ... direct variation, an inverse variation, or neither.

Direct and Inverse Variation SOL A8 by Robert Lotze, Moody Middle School

Direct and Inverse Variation SOL A8 by Robert Lotze, Moody Middle School

 · 2015-03-25 · Is the relationship between the values in each table a direct variation, an inverse variation, or neither? Write equations to model the direct and inverse variations.

 · 2015-03-25 · Is the relationship between the values in each table a direct variation, an inverse variation, or neither? Write equations to model the direct and inverse variations.

Aim: What is an direct variation relationship? What is an inverse variation relationship?

Aim: What is an direct variation relationship? What is an inverse variation relationship?

Direct, Inverse, Joint and Combined Variation - She Loves Math

Direct, Inverse, Joint and Combined Variation - She Loves Math