The dry cleaning fee for 3 pairs of pants is $18.

Slides:



Advertisements
Similar presentations
C U B E STRATEGY Circle the numbers Underline the units
Advertisements

Ratios and Proportional Relationships Test Review
LESSON 7: Unit Rate as a Constant of Proportionality
Minds On. Emily's brother drove 340 miles and used 17 gallons of gas. How many miles per gallon (mpg) did he get?
6.1, Review Game Show InequalitiesEquationsExpressionsProportionalityFractions.
Topic A: Proportional Relationships
Example: Write Equation of Line Given the X and Y Intercepts
Equations of proportional relationships
7.1 The Meanings of Ratio, Rate, and Proportion
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
LESSON 10: Interpreting Graphs of Proportional Relationships
Quiz: After Review Lessons feet = ____________ inches 60 yards = ___________ feet 2 tons = ____________ pounds 1,200 cm = ____________ meters 7.
ZAP. Which car can drive the farthest per gallon? CAR EQUATION miles using 10 gallons miles using 16 gallons mile using 31 gallons.
Unit 3 Review Algebra 1 Unit 3: Solving Equations Review.
1st Semester Exam Review. Question 1 What is the perimeter of the rectangle?
© Mark E. Damon - All Rights Reserved Another Presentation © All rights Reserved
A package of tennis balls contains 3 tennis balls. The number of tennis balls and the number of packages are in a proportional linear relationship. This.
Basic Operations & Applications Unit. Solving Arithmetic Problems Involving Percent Types of percent problems -What (number) is m% of n? -m is what percent.
Lesson 2.8, page 357 Modeling using Variation Objectives: To find equations of direct, inverse, and joint variation, and to solve applied problems involving.
Direct Variation Talking about the relationship between variables in a new way!!! Fun, Huh?
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.
LESSON 3: Identifying Proportional and Non-Proportional Relationships in Tables You have been hired by your neighbors to babysit their children on Friday.
Constant Rates of Changes. Warm Up 1.Suppose the tortoise travels for 12 seconds, how would you find the distance traveled? 2.How would you describe.
Finding a Linear Model Section 2.4. Lehmann, Intermediate Algebra, 4ed Section 2.4 A company’s profit was $10 million in 2005 and has increased by $3.
October 15, 2013 Bell Ringer: Solve for x: 3x + 4 = 5x – 8 7x – 9 + 2x = 5x + 19 Show All of your work. NO work = NO credit!
Rate of Change and Slope. Warm Up Solve each proportion for x.
Representing Proportional Relationships with Equations.
Math-8 NOTES DATE: ______/_______/_______ What: function tables Why: To identify the “function rule” from a table, and explore the independent v. dependent.
Writing Equations For Proportions Day 6.
xy / xy -3-11/2 -14/ /4 xy -2-11/2 -19/ ABCABC.
Goal: Use a verbal model to write an algebraic equation to solve a real-life problem. Eligible Content: A / A
Unit 3, Lesson 6 Constant of Proportionality and Writing Direct Variation Equations.
You bike 39 miles in 5 hours. Find the Unit Rate in miles per hour
What is a ratio, rate, and unit rate?
Unit Rates. October 22, 2013 How do I solve problems involving Unit Rates?
ALGEBRA READINESS LESSON 8-6 Warm Up Lesson 8-6 Warm-Up.
Literal Equations and Dimensional Analysis
Ratios and Proportional Relationships Unit Rates and Complex Fractions Proportional ? ConstantofProportionality Proportions by Equations Multistep Ratio.
Constant Rate of Change
Simplify and Solve More Equations Even More Equations.
Slope of a Line 12-2 Learn to find the slope of a line and use slope to understand and draw graphs.
Representing Proportional Relationships with Equations.
Learning Target: I can find the unit rate and the constant of proportionality from a graph, table, and equation. Homework: Complete notes on p.11 for the.
Identifying Proportional and Non- Proportional Relationships in Tables Lesson 3.
REVIEW: SLOPE OF A LINE What is slope of a line? --how to move from one point on the line to another point on the line A B C D --these moves are classified.
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,
x ˂ −5 Write an Inequality 0 −3 ≤ x ≤ 2 47 = b − 126 b = 173.
Proportions #27. A proportion is an equation that shows two equivalent ratios. Read the proportion = as “two is to one as four is to two.” 2 1 __ 4 2.
Topic A: Proportional Relationships
Proportional and Non- Proportional Relationships using Tables Objective: I will determine proportional and non-proportional relationships using tables.
Review over functions and linear equations. Please select a Team. 1.Team 1 2.Team 2 3.Team 3 4.Team 4 5.Team 5.
Interpreting Parts of an Expression Algebra I Unit 1 D4 1.
You will be given the answer.
4.3 Graphing Linear Nonproportional Relationships Using Slope and y-intercept How can you graph a line using the slope and y-intercept?
Proportional Relationships
Compare Properties of Functions
PUBLIC RELEASE TUESDAY
Chapter 1.9 Direct Variation.
4.3 Proportional Relationships and Graphing
Lesson 4 – Represent Proportional Relationships with Equations
KINEMATICS: LESSON 2.
Unit Rate and Proportional Relationships
EXAMPLE #1 Gasoline costs $4.24 per gallon. Cost
Identifying Proportional and Non-Proportional Relationships
Do Now Week #5 Eureka Math 2017
Speed, Distance and Time
Proportional Relationships and Graphs
CC3 – Proportional Relationships
Graph Proportional Relationships
USING PROPORTIONS.
Presentation transcript:

The dry cleaning fee for 3 pairs of pants is $18. Review for Unit 1 Test The dry cleaning fee for 3 pairs of pants is $18. What is the constant of proportionality? How much will the dry cleaner charge for 11 pair of pants? $ 66.00

Activity #1 Workbook Page 42

Problem #1 There are 3 cans that store 9 tennis balls. What is the C.O.P? Write an equation for the situation.

Problem #1 There are 3 cans that store 9 tennis balls. C.O.P. = 3 B = 3C

Problem #1 In 25 minutes, Li can run 10 laps around the track. What is the C.O.P? Write an equation for the situation.

In 25 minutes, Li can run 10 laps around the track. Problem #1 In 25 minutes, Li can run 10 laps around the track. C.O.P = 0.4 (laps per min) L = 0.4M C.O.P. = 2.5 (min per lap) M = 2.5L OR Which makes more sense?

Problem #2 Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand. What is the C.O.P? Write an equation for the situation.

Problem #2 Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand. C.O.P = 2 C = 2P

Problem #3 It cost $5 to send 6 packages through a certain shipping company. What is the C.O.P? Write an equation for the situation.

Problem #3 It cost $5 to send 6 packages through a certain shipping company. C.O.P = 0.83 ($ per package) C = 0.83P C.O.P. = 1.2 (packages per $) P = 1.2d OR Which makes more sense?

Each problem is proportional. Write an equation for each. Julia is shopping. She finds a sale that has 5 t-shirts for $15. -4 -1 -2 -3 -5 1 2 3 4 5 x y -1 -4 1 4 2 8 a) y=1/2x b) y=4x c) Cost=3*t-shirts (C=3t)

Name That Point! What does (4,40) mean? What is the C.O.P? 10 Plant Production What does (4,40) mean? What is the C.O.P? 10

Name That Point! What does (10, 2.5) mean? What is the C.O.P? 1 4

Name That Point! What does (15, 60) mean? What is the C.O.P? 4

Name That Point! What does (30, 15) mean? What is the C.O.P? 1 2

Determine if the equations are proportional. Proportional Non-Proportional y= 2x – 4 y= x + 3 y= 2x + 12 y= -3x y= 1 2 x y= -7 + x y= x – 4 y= 17x

Does this relationship show constant proportionality? How do you know? 𝒚 𝒙 x Time (hrs) y Snowfall (in) 2 10 6 12 8 16 2.5 5 7 14 = 5 = 2 = 2 = 2 = 2

Does this relationship show constant proportionality? How do you know? x Number of days y Cost ($) 6 2 9 3 24 8 1 𝒚 𝒙 1 3 1 3 1 3 1 3 𝑦= 1 3 𝑥

Does this relationship show constant proportionality? How do you know? x Pounds y Cost 5 10 4 8 6 12 16 20 𝒚 𝒙 = 2 = 2 = 2 = 2 = 2 Y = 2x

Randy is planning to drive from New Jersey to Florida Randy is planning to drive from New Jersey to Florida. He recorded the distance traveled and the total number of gallons of gas used every time he stopped for gas. Gallons (x) 2 4 8 10 12 Miles (y) 54 189 216 7 96 270 324 𝒚 𝒙 HINT: Find the constant rate! Constant rate is 27 𝟓𝟒 𝟐 𝟐𝟏𝟔 𝟖 = 27 = 27