ADVANCED TRIG Page 90 is due today, any questions?

Slides:

Advertisements

Similar presentations

Objective - To graph linear equations using the slope and y-intercept.

Advertisements

Linear Equations in Two Variables

X y x y Review of definition: A function is a relation for which there is exactly one value of the dependent variable for.

Linear Equations Review. Find the slope and y intercept: y + x = -1.

Writing Linear Equation in Standard Form

Goals: Graph and interpret equations in slope- intercept form that model real life situations. Use a graphing calculator to graph linear equations. Eligible.

2.4 Using Linear Models. The Trick: Converting Word Problems into Equations Warm Up: –How many ways can a $50 bill be changed into $5 and $20 bills. Work.

Section 9B Linear Modeling

Section 9B Linear Modeling Pages Linear Modeling 9-B LINEAR constant rate of change.

Slope Is a Rate of Change

2-1: Linear Functions as Mathematical Models

Section 9B Linear Modeling

Section 9B Linear Modeling Pages Linear Functions 9-B A linear function describes a relation between independent (input) and dependent (output)

S ECTION 3-5: L INEAR F UNCTIONS AS M ATHEMATICAL M ODELS.

Graphing Linear Inequalities in Two Variables SWBAT graph a linear inequality in two variables SWBAT Model a real life situation with a linear inequality.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Chapter 4 Section 1 Essential Question How can we model relationships between quantities? Common Core State Standards: 8.F.4 Mathematical Practices: 1,

X y    1. Which of the following is the equation of the line shown? a. b. c. d. e. 3. Write the equation of the line which passes through the points.

Formalizing Relations and Functions Section 4-6 Part 2 December 10, 2014.

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.

Slope and Rates of Change 5-3. Vocabulary Slope- of a line is a measure of its steepness and is the ratio of rise to run. Rate of change- The ratio of.

Linear Applications Wednesday, November 13, 2013.

Chapter 4 – Graphing Linear Equations 4.4 – The Slope of a Line.

Modeling with a linear function P 10. Warm up Write down the formula for finding the slope of a line given 2 points. Write down the equation of a line.

Algebra 1 14 NOV ) Put papers from your group folder into your binder. 2) Put your binder, hw and text on your desk. START WU. THE ONLY PAPERS THAT.

WRITE LINEAR EQUATIONS IN SLOPE- INTERCEPT FORM December 2, 2013 Pages

Copyright © 2015, 2008, 2011 Pearson Education, Inc. Section 2.4, Slide 1 Chapter 2 Modeling with Linear Functions.

Section 1: Describing Motion. Speed Speed is how far you travel over a period of time. Speed is expressed in the formula s=d/t (speed = distance/time).

RATE OF CHANGE AND DIRECT VARIATION

Direct Variation. A direct variation is… A linear equation The y-intercept must be zero!!!! The graph of a direct variation will ALWAYS go through the.

Linear Applications Wednesday, November 13, 2013.

Lesson 4.7 Topic/ Objective: To evaluate and graph piecewise and step functions. EQ: How can you describe a function represented by more than one equation.

Review after Christmas!. Solve the below equations for the variable..5 (6x +8) = 16 1.

Warm-Up: September 15, 2015 Using the graph and line of best fit from yesterday’s class, estimate the length of the spring when 50 g is hung from it.

Warm UpOct. 15  For numbers 1-3, find the slope of the line that passes through each pair of points 1. (-4, -1) and (-3, -3) 2. (-2, 3) and (8, 3) 3.

Algebra 1 Section 6.1 Solve and graph linear inequalities Inequalities Verbal Algebraically Graphically Inequality signs > greater than < less than > greater.

2.2 Constant Rates of Change

Linear Equations and Their Forms

ALGEBRA 1 CHAPTER 7 LESSON 5 SOLVE SPECIAL TYPES OF LINEAR SYSTEMS.

Slope Intercept Form Algebra

Core Focus on Linear Equations

Special Types of Linear Systems

Compare Properties of Functions

Adv. Algebra Ch. 2 review This review should prepare you for the chapter 2 test in Advanced Algebra. Read the question, work out the answer, then check.

Unit 3 Functions and Graphs

Equations of straight lines

PARENT GRAPH FOR LINEAR EQUATIONS

Model Direct Variation

Solve Linear Systems by Graphing

Model Direct Variation

Quick Graphs Using Slope-Intercept Form

Lesson 8-6 Solving Systems of Linear Equations by Graphing

Warm Up Find the solution to each linear system.

What is the equation of this graph? {applet}

EXIT TICKET: Graphing Linear Equations 11/17/2016

Write the equation for the following slope and y-intercept:

4-1 Slope Intercept Form Word Problems

Section 6.1 Slope Intercept Form.

Systems of Linear Equations in Two Variables (by Elimination)

Identify Key Information from a Graph

Section 8.3 Part 2 Slope and y-intercept pages

Graphs in Science Chapter 1, Section 5 Page 34.

Write Linear Equations in Point-Slope Form

Model Direct Variation

Slope A number that represents the rate of change in y for a unit change in x ∆y y2 – y1 ∆x x2 – x1 = 2 3 Slope = Rate of Change.

5.1 -Systems of Linear Equations

Objectives: To graph lines using the slope-intercept equation

Writing Rules for Linear Functions Pages

Presentation transcript:

ADVANCED TRIG Page 90 is due today, any questions?

SECTION 3.5 WORD PROBLEMS PAGE 94 EXAMPLE 1 As you drive home from the football game, the number of miles you are away from home depends on the number of minutes you have been driving. Assume that the distance varies linearly with the time. Suppose that you are 11 miles from home when you have been driving for 10 minutes, and 8 miles from home when you have been driving for 15 minutes. a. Define variables for distance and time, and sketch the graph b. Find the particular equations expressing distance as a function of time.

EXAMPLE 1 CONTINUED c. Predict your distance from home when you have been driving for 20 minutes. d. When were you 7 miles from home? e. What does the y intercept (distance intercept) mean in the real world application? f. What does the x intercept mean? g. In what domain does this example give you meaningful answers? h. What are the units of slope? Based on these units, what do you suppose the slope represents in the real world? What does it mean for the slope to be negative?

EXAMPLE 2 Phoebe Small still has 35 pages of history to be read after she has been reading for 10 minutes, and 5 pages left after she has been reading for 50 minutes. Assume that the number of pages left to read varies linearly with the number of minutes she has been reading. a. Write the particular equations expressing pages in terms of minutes, and use it to predict the time when she has finished reading, b. Sketch the graph. c. What is the unit for slope, what is its meaning?

EXAMPLE 3  The speed a bullet is traveling depends on the number of feet the bullet has traveled since it left the gun. Assume that s = - 4d+3600, where s is the number of feet per second and d is the number of feet.  a. How do you know that s varies linearly with d?  b. How fast is the bullet going when it has traveled 300 feet?  c. How far has the bullet gone when it has slowed to 500 feet per second?  d. What does the slope represent in the real world?  e. What does the d-intercept equal? What does it tell you about the bullet?  f. Write a suitable domain for the linear function.

HOMEWORK Page 98 #2, 4, 5, 6, 8, 14, 18