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

Slides:

Advertisements

Similar presentations

Lesson 5-5 Direct Variation

Advertisements

5-5: Direct Variation.

5-Minute Check on Activity 4-7 Click the mouse button or press the Space Bar to display the answers. Using your calculator, determine the quadratic regression.

2.6 – Direct Variation. A simplified form of the equation y = mx + b could be an equation with a y-intercept of 0 Direct Variation = as one variable changes,

Write and graph a direct variation equation.

Direct Variation 5-2.

Learn to recognize direct variation by graphing tables of data and checking for constant ratios.

To write and graph an equation of a direct variation

Identify, write, and graph an equation of 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?

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Direct Variation 5-4. Vocabulary Direct variation- a linear relationship between two variable that can be written in the form y = kx or k =, where k 

Slope. Direct Variation What you’ll learn To write and graph an equation of a direct variation. Direct variation and Constant of variation for a direct.

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

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

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.

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.

Pre-Algebra 11-5 Direct Variation 11-5 Direct Variation Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

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.

5-4 Direct Variation Warm Up 1. Regina walked 9 miles in 3 hours. How many miles did she walk per hour? 2. To make 3 bowls of trail mix, Sandra needs 15.

Lesson 70: Solving Direct Variation Problems. Bell Work: Graph the points (-2, -4) and (6, 0) and draw a line through the points. Then write the equation.

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.

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.

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.

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

ALGEBRA READINESS LESSON 8-6 Warm Up Lesson 8-6 Warm-Up.

11-5 Direct Variation Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Variation Functions Essential Questions

Algebra1 Direct Variation

Direct Variation Section 1.9.

Direct Variation Algebra I.  Two variables (x and y) vary directly when the following situation is true: y = kx Constant of variation (k) is any number.

§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.

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.

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

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

5-4 Direct Variation Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

12-5 Direct Variation Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

Chapter 3.1 Variation.

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

Constant of Proportionality. A direct variation is represented by a ratio or equation : or k ≠ 0 Direct Variation – constant ratio EX1) Determine if the.

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.

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.

Direct Variation 88 Warm Up Use the point-slope form of each equation to identify a point the line passes through and the slope of the line. 1. y – 3 =

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

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

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.

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

Direct Variation.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Pre-Algebra 11-5 Direct Variation

Math CC7/8 – April 24 Math Notebook: Things Needed Today (TNT):

Warm Up Solve each proportion. = = 1. b = y = 8 = = m = 52

Lesson 5-5 Direct Variation

5-2 Direct Variation What is Direct Variation?

Inverse Variation Chapter 8 Section 8.10.

Solve a system of linear equation in two variables

5-2 Direct Variation.

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.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Lesson 5-2 Direct Variation

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

LESSON 12-1 INVERSE VARIATION

Lesson 2-3 Direct Variation

Study Tips Look over notes. Look over quizzes

Solving Linear Systems by Graphing

Presentation transcript:

Direct Variation A Type of linear function

Save for Monday 1.Find the rate of change, interpret in context! a)b) 2.

HW Check D3. B 1.Y = 1/32. y = 9/23. -9/2 1.Y = -x y = -1/3x – 1 3. Y = 2/3x y = 5/4x - 4

Puggly Wuggly Dollar Deals – Everything costs $1. Puggly Wuggly – Everything costs $2.50. Fancy Foods – Everything costs $4. Complete the investigation as we go!

Tables and Graphs xy Y=

Complete the tables for Puggly Number of Items x Puggly Wuggly Function _____*x Total Cost Y Number of Items x Fancy Foods Function _____*x Total Cost y 0 __________ __ ________$20.00________$ __________ __5 ________$42.50________$68.00 ________$252.50________$116.00

Recap What is direct variation? How does changing the cost of each item affect the graph? What do you notice is the same for each graph?

Anyone have a Job? xt/products/ X/Ch05/05- 05/PH_Alg1_ch05-05_Obj1_vid1.html Thunderstorm in Toronto Canada KlYhttp:// KlY

Direct Variation A function in the form y = kx, where k is the constant of variation. The variables y and x, “vary directly”! If The equation looks like y = kx, then it is DIRECT VARIATION!

Gulliver’s Travels

Is it DV? Is the equation Direct Variation? –Identify the constant k in each equation if it represents direct variation. 1. Y = 3x2. Y = 4x Y = x4. 2y = 8x 5. 5x + 2y = 06. 3x – y = 7 No JUNK in the TRUNK!

More facts about Direct Variation If the graph has the point (0,0), then it is DIRECT VARIATION!

Are these direct variation? a) b) c)

Writing a Direct Variation Equation Write a direct variation through the point (4, -3). Ex. 1: Write an equation of the direct variation that includes the point: (4, -3) Step1: Start with the direct variation equation: Step 2: Substitute the x and y in the ordered pair for the x and y in the equation. Step 3: Solve for k. Step 4: Write the equation substituting k (in step 3) for k in the equation

You try! 2. Write a direct variation through the point (5, 2) 3. Write a direct variation through the point (-6, -6) 4. Write a direct variation through the point (-3, -12)

Direct Variation in a Table The value of k must be the same for all points!

Do the values vary directly?

Proportions can also be used to solve DVs

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.

C. Weight varies directly with gravity. With his equipment on an astronaut weighs 360 lbs on Earth but only 60 lbs on the moon. If another astronaut had landed on the moon that weighed 54 lbs with her equipment, how much would she weigh on Earth with equipment?

HW 4.3