1.6b Modeling Practice. Right in with practice problems… When a number is added to its double and its triple, the sum is 714. Find the three numbers.

Slides:



Advertisements
Similar presentations
CPI Consumer Price Index. Prices typically go up – inflation.
Advertisements

What value is in the solution set for this equation? A.12B.27 C. -12D. -27 Thursday:
Answers pg ) 8 4) 9 6) 3 8) 11 10) -9.
SOLUTION RUNNING The distance d (in miles) that a runner travels is given by the function d = 6t where t is the time (in hours) spent running. The runner.
EXAMPLE 5 Write and solve an equation
EXAMPLE 5 Use unit analysis with operations a. You work 4 hours and earn $36. What is your earning rate? SOLUTION 36 dollars 4 hours = 9 dollars per hour.
Section 5-8.  The dashboard of your car gives you a lot of information about your car’s ability to go  It gives no information about your car’s ability.
5.1 Accumulated Changes Example 1: An objects travels with a velocity of 15 mph. What is the distance traveled after 4 hours t v Distance = area.
8.5 Probability Distributions; Expected Value This presentation is copyright by Paul Hendrick © 2005, Paul Hendrick All rights reserved.
Objectives Relate velocity, distance, and time. – Standard 1, Mathematical Analysis: Key Idea 1 Given any two variables (velocity, distance, time), be.
1 3.1 Changing App Probs into Equations How do different words and phrases relate to mathematical operations? What words do you know that indicate a certain.
Economists use Consumer Price Index [CPI] to estimate real wages and costs from nominal wages and costs.
Chapter 3 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 3-1 Applications of Algebra.
4.3 Application problems dealing with systems of linear equations.
Sales Management Interactive Training Experience.
Introduction to Algebra
EXAMPLE 1 Finding a Sale Price You are shopping for a guitar and find one with an original price of $160. The store is offering a 30% discount on all guitars.
When solving an application that involves two unknowns, sometimes it is convenient to use a system of linear equations in two variables.
Unit A Business in a Changing World Section 1.04 Economic Indicators and the Business Cycle.
Warm Up9/24 One number is 5 more than 3 times another number. The sum of the numbers is 45. Find the numbers.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
SOLUTION RUNNING The distance d (in miles) that a runner travels is given by the function d = 6t where t is the time (in hours) spent running. The runner.
Why is it important to know how to understand and calculate your gross income? Employers make mistakes on paychecks. Examples: incorrect number of hours.
2 pt 3 pt 4 pt 5pt 1 pt 2 pt 3 pt 4 pt 5 pt 1 pt 2pt 3 pt 4pt 5 pt 1pt 2pt 3 pt 4 pt 5 pt 1 pt 2 pt 3 pt 4pt 5 pt 1pt Solving Equations Solving Inequalities.
EXAMPLE 1 Use a formula High-speed Train The Acela train travels between Boston and Washington, a distance of 457 miles. The trip takes 6.5 hours. What.
g = PO D g = × 21 = × g = 12g 12g = 882 ÷12.
Bell Quiz.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 8.1, Slide 1 Consumer Mathematics The Mathematics of Everyday Life 8.
Solving Proportions. EXAMPLE 1 Solve the proportion x =. Solving Proportions METHOD - Use equivalent ratios x = X 5 = 60,
Advanced Bar Modeling Gregg Velatini Dianna Spence 2009 GCTM.
Applications for Systems of Equations Algebra I. Example #1  Flying to Ankara with a tailwind a plane averaged 368 mph. On the return trip the plane.
Essential Standard 1.00 Understand the role of business in the global economy. 1.
Section 4.7 What we are Learning: To solve mixture problems To solve problems involving uniform motion.
Section 1.1, Slide 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. Section 8.1, Slide 1 Consumer Mathematics The Mathematics of Everyday Life 8.
Warm Up # 3 Quarterly Assessment 3 Take out your Make Up QA – work on them quietly Work on your homework if you are finished.
Chapter 12 Inflation Effects.
5.4 Problem Solving Using Systems of Equations. Steps 1)Read, read, read 2)Assign a variable to each unknown (need 2 variables) 3)Translate so you have.
Solving Linear Systems Using Linear Combinations There are two methods of solving a system of equations algebraically: Elimination (Linear Combinations)
Solving Inequalities by Adding or Subtracting
5.3 Definite Integrals, Antiderivatives, and the Average Value of
Solving Story Problems Involving Rates. Example #1 Jack drove an average of 55 mph on his trip. He spent a total of 8.5 hours driving. How far did he.
Jeopardy True/False Economies Terms Q$100 Q$200 Q$300 Q$400 Q$500 Q$100 Q$200 Q$300 Q$400 Q$500 FinalFinal Jeopardy Measure Q$100 Q$200 Q$300 Q$400 Q$500.
 You can use weighted averages to solve uniform motion problems when the objects you are considering are moving at constant rates or speeds.
Lesson 6-4 Warm-Up.
Rates and Average Measures of Central Tendency LESSON 7POWER UP B PAGE41.
X = 3y = 4z = 8 2x Step 1X = 3 Step 22(3) 2 – 6 2 Step 4 2(9) – 6 2Step 3 18 – 12 =6.
Career PowerPoint By: Diane Branham Chef On the job Chef’s have many tasks like… They prepare and present food to a client/custimer. To develop new foods.
Copyright © Cengage Learning. All rights reserved. Equations and Inequalities 2.
Problem Solving Using Algebraic Models. Corporate Average Fuel Economy (CAFE) standards require auto manufacturers to produce cars so that the average.
The word minus corresponds to which symbol?
DISTANCE = RATE*TIME D = rt D = r(t) D = r x t.
Essential Standard 1.00 Understand the role of business in the global economy. 1.
Inflation continued practice. Weightings are adjusted by region, for example Food is 15% in Boston and 16% in Cinncinatii.
Essential Standard 1.00 Understand the role of business in the global economy. 1.
Jeopardy Q$100 Q$100 Q$100 Q$100 Q$100 Q$200 Q$200 Q$200 Q$200 Q$200
Speed and Velocity.
Modeling with Rational Functions
2.2 Linear Equations Learn about equations and recognize a linear equation Solve linear equations symbolically Solve linear equations graphically Solve.
Main Idea and New Vocabulary Example 1: Use a Table
Main Idea and New Vocabulary Example 1: Use a Table
COURSE 3 LESSON 4-6 Formulas
2-9 Weighted Averages Weighted Average – the sum of the product of the number of units and the value per unit divided by the sum of the number of units.
The velocity is constant and the distance is:
Starter Questions Convert the following to minutes :-
Variations word problem
The velocity is constant and the distance is:
2-9 Weighted Averages Weighted Average – the sum of the product of the number of units and the value per unit divided by the sum of the number of units.
Өмнөговь аймгийн Нийгэм,
Reading Graphs, Tables & Keys
Presentation transcript:

1.6b Modeling Practice

Right in with practice problems… When a number is added to its double and its triple, the sum is 714. Find the three numbers. Three numbers: 119, 238, 357

Guided Practice The consumer price index for food and beverages in 1997 was after a modest 1.7% increase from the previous year. What was the index the previous year? CPI was approx

Guided Practice On their 560-mile trip, a basketball team spent two more hours on the interstate highway than they did on local highways. They average 45 mph on local highways and 55 mph on the interstate highways. How many hours did they spend driving on local highways? t = hours spent on local highways Distance on local highways: Distance on interstate highways:

Guided Practice On their 560-mile trip, a basketball team spent two more hours on the interstate highway than they did on local highways. They average 45 mph on local highways and 55 mph on the interstate highways. How many hours did they spend driving on local highways? t = 4.5 hours t = hours spent on local highways Total distance travelled:

Guided Practice Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of $20,000 plus 7% of gross sales. What would Ruth’s gross sales total need to be to make the second job offer more attractive than the first? Let x be the gross sales For the second job to be more attractive than the first, we need:

Guided Practice Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of $20,000 plus 7% of gross sales. What would Ruth’s gross sales total need to be to make the second job offer more attractive than the first? Let x be the gross sales For the second job to be more attractive than the first, we need: Gross sales would have to exceed $250,000

Guided Practice From 1996 to 1997, the U.S. shipments of personal computers grew from 26,650,000 to 30,989,000. What was the percentage increase in U.S. personal computer shipments? An approximate % increase

Guided Practice A chemistry lab keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution? x = amount of 20% solution, y = amount of 35% solution

Guided Practice A chemistry lab keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution? x = amount of 20% solution, y = amount of 35% solution x = 15 liters, y = 10 liters