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

Slides:

Advertisements

Similar presentations

Math 7 Unit 6 Test Review.

Advertisements

Lesson 5-5 Direct Variation

2-3 Direct Variations.

A3 3.7 Direct and Indirect Variation

Write and graph a direct variation equation.

Direct Variation.

The general equation for DIRECT VARIATION is k is called the constant of variation. We will do an example together.

Constant of Proportionality

Solving Percent Problems Using Proportions

Inverse Variation Inverse Variation. Do you remember? Direct Variation Use y = kx. Means “y v vv varies directly with x.” k is called the c cc constant.

Jeopardy Real Numbers and PEMDAS Variables and Expressions Solve by Add/ Subtract Solve by Multiply/ Divide Multi-Step Equations

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.

Direct and Inverse Variation

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.

Warm up Determine the asymptotes for: 1. x=-2, x=0, y=1.

Algebra 1 Direct and Inverse Variations Objective  Students will understand the difference between direct and inverse variation.  Students will compute.

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.

Multiplying or Dividing

Notes Over 4.5 Writing a Direct Variation Equation In Exercises 1-6, the variable x and y vary directly. Use the given values to write an equation that.

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.

PRE-ALGEBRA. Lesson 8-4 Warm-Up PRE-ALGEBRA What is a “direct variation”? How do you find the constant, k, of a direct variation given a point on its.

Direct and Inverse Variation. Direct Variation Y varies directly to x, when x and y are related by the equation: y=kx. Here k is the constant of variation.

Lesson 4-6 Warm-Up.

Lesson 4-5 Warm-Up.

Direct and Inverse.

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

Objective: Apply algebraic techniques to rate problems.

Direct, Inverse & Joint Variation. Direct Variation The variables x & y vary directly: Direct  Divide BIGGER.

Direct and Inverse Variations Do now: if 5 boxes of salt costs 15 dollars, how much does 4 boxes cost?

Lesson 6-9: Variation Objective: Students will: oFind the constant of variation and setup direct and inverse variation equations oUse variation equations.

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

Lesson 4.3 ALL PROPORTIONAL RELATIONSHIPS ARE IN THE FORM OF y = mx

X = Y. Direct variation X 1 X = Y 1 Y 2.

12-7 Joint and Combined Variation Warm-up Problems 1.Find the equation of variation where y varies directly as x, and y = 6, when x = 5. 2.Find the equation.

Unit 8: Day 1 Direct and Inverse Variation. Definition… Direct Variation: y varies directly as x This means as x increases, y __________ as x decreases,

Inverse Variation. A relationship that can be written in the form y =, where k is a nonzero constant and x ≠ 0, is an inverse variation. The constant.

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.

4.1 Variation Page 143 Can't Type? press F11 or F5; Can’t Hear? Check: Speakers, Volume or Re-Enter Seminar Put ? in front of Questions so it is easier.

7.3 Ratio, Proportion, and Variation Part 2: Direct and Indirect Variation.

Solve Rational Equations Add & Subtract Multiply, Divide, Simplify Graph Rational Functions (Inverse) Variation $500 $400 $300 $200 $100.

Inverse Variation (11-1) Identify and use inverse variations. Graph inverse variations.

how one quantity varies in relation to another quantity

Direct and Inverse Variations

Direct and Inverse.

5.6 Inverse Variation Review

Constant of Proportionality

Lesson 6-9: Variation Objective: Students will:

Constant of Proportionality

Direct and Inverse.

A relationship that can be written in the form y = , where k is a nonzero constant and x ≠ 0, is an inverse variation. The constant k is the constant.

A relationship that can be written in the form y = , where k is a nonzero constant and x ≠ 0, is an inverse variation. The constant k is the constant.

Practice Quiz Word Problems

Lesson 5-5 Direct Variation

Multiplying or Dividing 1-3

Direct and Inverse.

4.2 Slope & Direct Variation

Direct and Inverse Variations

Direct and Inverse Variations

5-2 Direct Variation.

Direct and Inverse Variations

Lesson 5-2 Direct Variation

Direct and Inverse.

Direct and Inverse.

Ch. 7 Jeopardy Rational, Root, and Step Functions Power

Direct and Inverse.

Linear Relationships Graphs that have straight lines

Direct Inverse and VARIATION.

Lesson 2-3 Direct Variation

Topic: Inverse Variation HW: Worksheet

Presentation transcript:

Direct and Inverse Variations

Direct Variation

Which of these tables models direct variation? If so, write an equation. NO

Tell if the following graph is a Direct Variation or not. No Yes (straight line through the origin!) No

example: If y varies directly as x and y = 10 as x = 2.4, find x when y =15. 10x = 36 x=3.6

If y varies directly with x and y = 12 when x = 2, find y when x = 8. Cross multiply: 96 = 2y Solve for y. 48 = y.

The Weight (V) of an object on Venus varies directly as its weight (E) on Earth. A person weighing 120 lb on Earth would weigh 106 lb on Venus. How much would a person weighing 150 lb on Earth weigh on Venus? 150(106) = 120y = 120y pounds =y

Inverse Variation Inverse is very similar to direct, but in an inverse relationship as one value goes up, the other goes down. The values of x and y always multiply to give the same value.

Graphs of inverse variation…

Which of these tables models indirect variation? If so, write an equation. NO

Inverse Variation With Direct variation we Divide our x’s and y’s. In Inverse variation we will Multiply them. x 1 y 1 = x 2 y 2

Inverse Variation If y varies inversely with x and y = 12 when x = 2, find y when x = 8. x 1 y 1 = x 2 y 2 2(12) = 8y 24 = 8y y = 3

Inverse Variation If y varies inversely as x and x = 18 when y = 6, find y when x = 8. 18(6) = 8y 108 = 8y y = 13.5

In kick boxing, it is found that the force, f, needed to break a board, varies inversely with the length, l, of the board. If it takes 5 lbs of pressure to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 6 feet long? 10=6x 1.67 lbs=x