10/9/14: Section 3. 4 (not on Quiz tomorrow)

Slides:



Advertisements
Similar presentations
Learning Target Students will be able to: Identify, write, and graph direct variation.
Advertisements

Chapter 1 Section 4. Direct Variation and Proportion Direct Variation: The variable y varies directly as x if there is a nonzero constant k such that.
Solving & Applying Proportions
Direct Variation.
Representing proportional relationships with equations.
Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.
6.4 Objective: To solve direct and inverse problems.
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.
Direct proportion? n = the number of cans of coke you buy from a machine. C = the total cost of the cans. C is directly proportional to n. n C C = kn.
Direct Variation Warm Up Lesson Presentation Lesson Quiz
Notes Over 4.8 Identifying Functions A relation where each input has exactly one output. Function Decide whether the relation is a function. If it is.
Section 7.5 Formulas, Applications and Variation.
Section 3.5 – Mathematical Modeling
Holt Algebra Direct Variation Use a graph of the function to find the value of f(x) when x = –4. Check your answer.
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,
Warm Up Solve for y: 1) 2). HW Check 4.7 CORE Time Complete the Puggly Wuggly Worksheet.
5-4 Direct Variation Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
Warm Up 1) Find the slope of a line that goes through the points (-3, 5) and (11, -2) 2) Write the equation of a horizontal line that goes through 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.
X36912 y1234 State whether the table shows a direct variation. Prove it in two ways. x46810 y The variables x and y vary directly. Use the values.
 HW: Factoring Review Worksheet (circled problems)  Quiz Tomorrow!!!! (Study vocabulary words, Area, Perimeter, and Circumference)  Warm-Up: Find the.
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.
Direct Variation Section 5-2. Goals Goal To write and graph an equation of a direct variation. Rubric Level 1 – Know the goals. Level 2 – Fully understand.
Lesson 88 Warm Up Pg Course 3 Lesson 88 Review of Proportional and Non- Proportional Relationships.
Objectives: 1. Look for a pattern 2. Write an equation given a solution 4-8 Writing Equations from Patterns.
Direct Variation 5-5 Warm Up Lesson Presentation Lesson Quiz
Direct Variation 5-6 Warm Up Lesson Presentation Lesson Quiz
PARCC DO NOW
Direct Variation.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Circles.
Direct Variation Lesson 2-3.
4.7 Variation.
Math CC7/8 – April 24 Math Notebook: Things Needed Today (TNT):
Write the equation that passes in standard form.
Notes Quiz Turn in notes from Sep. 12th and Sep. 18th
Section 2.8 Distance and Midpoint Formulas; Circles
Direct Variation Chapter 8 Section 8.9.
2.3: Direct Variation Objective: Determine if a function is a direct variation function.
Inverse Variation Chapter 8 Section 8.10.
CIRCLES:
Variation and Proportion
Objective 1A f(x) = 2x + 3 What is the Range of the function
8.1: Direct, Inverse, and Joint Variations
Warm Up Solve for y y = 2x 2. 6x = 3y
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
2.3: Direct Variation Objective: Determine if a function is a direct variation function.
Section 1.9 Distance and Midpoint Formulas; Circles
Power Functions Section 2.2.
Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz
Warm Up Solve for y y = 2x 2. 6x = 3y y = 2x – 3 y = 2x
Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz
2.3: Direct Variation If a man does not keep pace with his companions, perhaps it is because he hears a different drummer. Let him step to the music which.
Direct Variation Warm Up Lesson Presentation Lesson Quiz
Variation and Proportion
Objective Identify, write, and graph direct variation.
Old Thoughts…… Proportional relationships have a constant ratio, or unit rate. The graph of a proportional relationship is a straight line that passes.
Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz
Direct Variation Warm Up Lesson Presentation Lesson Quiz
Warm Up Solve for y y = 2x 2. 6x = 3y y = 2x – 3 y = 2x
2.2 Power Functions With Modeling
Learning Target Students will be able to: Identify, write, and graph direct variation.
Direct Variation Direct Variation: y varies directly as x or y is directly proportional to x (y=kx) where k is the constant of proportionality or constant.
9-2 Direct, Inverse, and Joint Variation
Section 4.6 Direct Variation Direct Variation
Direct Variation 4-5 Warm Up Lesson Presentation Lesson Quiz
Section 2.3 Direct Variation.
Parabolic Curve Equation Relationship y=
Variation and Proportion
Chapter 1: Lesson 1.10 Mathematical Modeling & Relations
Presentation transcript:

10/9/14: Section 3. 4 (not on Quiz tomorrow) 10/9/14: Section 3.4 (not on Quiz tomorrow) Groups: 9, 10, 19, 20, 24, 26 1. Quiz 3.1-3.3 - Tomorrow 2. HW: Assignment #24

3.4 Linear Functions & Direct Variation DO NOW: Are the values in the table linearly related? Does y vary directly as x? 1. 2. X y 3 17 4 21 5 25 6 29 x f(x) 8 -32 -5 20

Direct Variation y = kx Where “k” is the constant of variation. What is another name for “k”?

Direct Variation - Proportion The number of calories burned on the elliptical machine is directly proportional to the miles lapsed. If Mrs. Vida burns 360 calories for every 3 miles, how many calories would she burn in 5 miles on the elliptical machine?

Is that enough to eat 4 Oreos before bed? If calories consumed is directly proportional to Oreos eaten (160 calories for 1 serving or 3 cookies), how many calories are consumed if 4 Oreos are eaten?

Domain and Range Find the Domain and Range of each. 1. (0, 2), ( 3, 5), (6, 9) 2. y =3x + 2 3. 4. 5.

Decide which of the following are linearly related. 1. Circumference and radius of a circle 2. Area and radius of a circle 3. Perimeter and side of a square 4. Area and side of a square 5. Distance traveled and time spent traveling (if speed is constant)