3.8 Direct, Inverse, and Joint Variation

Slides:

Advertisements

Similar presentations

Lesson 12.1 Inverse Variation pg. 642

Advertisements

3.8 Direct, Inverse and Joint Variation

What You Will Learn Recognize and solve direct and joint variation problems Recognize and solve inverse variation problems.

Lesson 8-4: Direct, Joint, and Inverse Variation.

9.1 Inverse & Joint Variation

9.5 = Variation Functions.

September 6 Direct Variation. DIRECT VARIATION x is directly proportional to y x varies directly as yY X.

3.4 – Slope & Direct Variation. Direct Variation:

Variation. Direct Variation if there is some nonzero constant k such that k is called the constant of variation.

Section 3.6: Critical Points and Extrema

9.4 – Solving Quadratic Equations By Completing The Square

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

Lesson 8-7 Quadratic Variation Objectives: Students will: Be able to find equations of direct, inverse, and joint quadratic variation Solving problems.

9-4 Variation Direct Variation Inverse Variation Joint 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.

LAST CHAPTER!!!!!!! Yay!!!!!!!!! 8.1 & 8.2 Direct, Inverse & Joint Variation.

Direct Variation We say that two positive quantities x and y vary directly if an increase in one causes a proportional increase in the other. In this case,

1.11 Modeling Variation.

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

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

UNIT 2, LESSON 8 VARIATION. THREE TYPES OF VARIATION.

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

8-1 Direct, Inverse, and Joint Variation Some relationships in mathematics can be described as examples of direct variation. This means that y is a multiple.

3.8 Direct, Inverse, and Joint Variation

Chapter 3.1 Variation.

LESSON 12-1 INVERSE VARIATION Algebra I Ms. Turk Algebra I Ms. Turk.

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.

Wed 2/24 Lesson 8 – 1 Learning Objective: To find direct, inverse, & joint variations Hw: Lesson 8 – 1 & 2 – 2 WS.

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.

3.8 – Direct, Inverse, and Joint Variation. Direct Variation When two variables are related in such a way that the ratio of their values remains constant.

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

9.1: Inverse and Joint Variation Objectives: Students will be able to… Write and use inverse variation models Write and use joint variation models.

Section 3.5 Mathematical Modeling Objective(s): To learn direct, inverse and joint variations. To learn how to apply the variation equations to find the.

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.

how one quantity varies in relation to another quantity

3.6 Polynomial and Rational Inequalities 3.7 Variation

Warm-up 8-7 HW 99, #9 HW 99, #18.

Direct Variation.

Advanced Math Topics Mrs. Mongold

Do - Now (-2, 1) & (4, 7) (1, 0) & (0, 4) (-3, -4) & (1, 6)

9.1 Inverse & Joint Variation

Variation Objectives: Construct a Model using Direct Variation

Direct Variation Lesson 2-3.

1.4 Direct Variation and Proportion

2.2 Direct Variation P68-70.

Inverse & Joint Variation

Model Inverse and Joint Variation

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

Inverse Variation Chapter 8 Section 8.10.

You will need: calculator

3-8 Direct, Inverse, Joint Variation

2 Variation Real World.

5-2 Direct Variation.

Joint Variation.

8.1 Model Inverse & Joint Variation

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

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

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

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

5.3 – direct variation Textbook pg. 301 Objective:

9-2 Direct, Inverse, and Joint Variation

Model Inverse and Joint Variation

Parabolic Curve Equation Relationship y=

9.1 Inverse & Joint Variation

Chapter 1: Lesson 1.10 Mathematical Modeling & Relations

Presentation transcript:

3.8 Direct, Inverse, and Joint Variation Objective: Solve problems involving direct, inverse, and joint variation.

y = kx Direct Variation: Ex.1) y = kx Ex.1) Suppose y varies directly as x and y=45 when x = 2.5. a.) Find the constant of variation and write an equation in the form y=kx^n b.) Use the equation to find the value of y when x=4.

Ex.2) When an object such as a car is accelerating, twice the distance d it travels varies directly with the square of the time t elapsed. One car accelerating for 4 minutes travels 1440 feet. a.) Write an equation of direct variation relating travel distance to time elapsed. Then graph the equation. b.) Use the equation to find the distance traveled by the car in 8 minutes. Ex.3) If y varies directly as the square of x and y=30 when x=4, find x when y=270.

If y varies inversely as x and y=14 when x=3, find x when y=30. Inverse Variation: Ex. 4) If y varies inversely as x and y=14 when x=3, find x when y=30.

Joint Variation: Ex.5) In Physics, the work W done in charging a capacitor varies jointly as the charge q and the voltage V. Find the equation of joint variation if a capacitor with a charge of 0.004 coulomb and a voltage of 100 volts performs 0.20 joule of work.