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.

Slides:

Advertisements

Similar presentations

5.2 Piecewise Functions CC.9-12.A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate.

Advertisements

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

Piecewise Functions 9-2 Warm Up Lesson Presentation Lesson Quiz

Essential Question: How do you find the equation of a trend line?

I will be able to apply slope intercept form to word problems. Pick up your calculator and take out a sheet of graph paper.

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.

ADVANCED TRIG Page 90 is due today, any questions?

1.4 Graph Using Intercepts

Section 2.4 Using Linear Models Section 2.4 Using Linear Models Objective: to write and solve linear equations which model a real-world situations.

Practice Slope Intercept Form:

Pg. 30/42 Homework Pg. 42 #9 – 14, 20 – 36 even, 43, 46, 49, 53 #15D= (-∞, 3)U(3, ∞); R = (-∞,0)U(0, ∞)#17D= (-∞, ∞); R = [0, ∞) #19D= (-∞, 8]; R = [0,

Chapter Piece wise functions.

8-4 Angles of Elevation and Depression

1A. Which graph represents a linear function?

Do Now Graph 2x + 4y = 8. Find the intercepts Graphing Linear Equations in Slope-Intercept Form.

3.5 Graphing Linear Equations in Slope-Intercept Form.

2.4: Using Linear Models Objective: Use linear equations to solve real world models.

SUBMERSIBLES Use a linear model EXAMPLE 5 A submersible designed to explore the ocean floor is at an elevation of –13,000 feet (13,000 feet below sea level.

Do Now When graphing a line, what does the letter m refer to? How is that used to describe a line?

#1 At 59°F, crickets chirp at a rate of 76 times per minute, and at 65°F, they chirp 100 times per minute. Write an equation in slope- intercept form that.

Chapter 6 Section 6B Solve Radical Equations In this assignment, you will be able to Solving equations with two radicals. 1. Solve radical equations.

Vocabulary Inequalities Equations & Slope INT/INQ Graphing.

Write linear equations from tables by identifying the rate of change and the initial value.

3.5 Graphing Linear Equations in Slope-Intercept Form

Direct and inverse variation

Algebra 1 Unit 4 Review Graphs of EquationsGraphs of Equations.

3.5 Graphing Linear Equations in Slope-Intercept Form

12. The product of two consecutive

Analyzing Polynomial Functions

Homework Questions.

What is a right triangle?

y – y1 = m (x – x1) Point-Slope Form

Increasing Decreasing Constant Functions.

Inequality Set Notation

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.

Chapter 1.9 Direct Variation.

Warm-up 1.7 Evaluate the equation y = 2x + 7 for: X = -2 X = 5 X = ½

Topic 3 – Functions Class 1 – Domain, Range, and End Behavior

Point-Slope Form 11-4 Warm Up Problem of the Day Lesson Presentation

Calculus section 1.1 – 1.4 Review algebraic concepts

Opening Routine – In your Notebook

Real-Life Scenarios 1. A rental car company charges a $35.00 fee plus an additional $0.15 per mile driven. A. Write a linear equation to model the cost.

Graphing Linear Equations in Slope-Intercept Form Notes 3.5

Rate of Change and Instantaneous Velocity

Unit 1 Test Review.

Interpreting the Unit Rate as Slope

Variables & Expressions Equations Equations Inequalities Functions 1pt

Piecewise Functions At least 2 equations, each of which applies to a different part of the functions domain. It is like having 3 equations for 3 different.

Section 5.2 Using Intercepts.

Chapter 9 Lesson 3 Objective: To use angles of elevation and depression to solve problems.

Section 1.1 Functions and Change

Chapter 1 – Linear Relations and Functions

1.5 Linear Inequalities.

Beth begins with $10 in the bank and

Unit 3 Functions.

4-1 Slope Intercept Form Word Problems

Section 6.1 Slope Intercept Form.

Unit 1 Representing Real Numbers

Example 1: Consumer Application

Section 8.3 Part 2 Slope and y-intercept pages

Write the equation of each line in slope-intercept form.

Characteristics.

Warm-up: State the domain.

Characteristics.

Motivation Monday.

First, identify the DOMAIN and RANGE for the relation below:

READ OR Work on something. you Talk, you will get a strike.

ALGEBRA I - REVIEW FOR TEST 2-1

Warm-up: Solve each equation for a. 1. 2a–b = 3c

Presentation transcript:

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 in the slope intercept form. In a real world situation where there is a constant rate of change how would you model it?

Modeling with Linear Function Write a function that models the given situation. Determine a domain from the situation, graph the function using that domain, and identify the range.

Example A Joyce jogs at a rate of 1 mile every 10 minutes for a total of 40 minutes. (Use inequalities for the domain and range of the function that models this situation.)

loyce's jogging rate is 0.1 mi/min. Her jogging distance d (in miles) at any time t (in minutes) is modeled by d(t) = 0.1t. Since she jogs for 40 minutes, the domain is restricted to the interval 0 ≤ t ≤ 40.

Example B A candle 6 inches high burns at a rate of 1 inch every 2 hours for 5 hours. (Use interval notation for the domain and range of the function that models this situation.)

The candle’s burning rate is ………………in/h. The candle’s height (in inches) at any time t (in hours) is modeled by h(t) = ………………… Since the candle burns for 5 hours, the domain is restricted to the interval [0, ……] The range is ……………..

Reflections In Example A, suppose Joyce jogs for only 30 minutes A. How does the domain change? B. How does the graph change? C. How does the range change?

Assignments 1. While standing on a moving walkway at an airport, you are carried forward 25 feet every 15 seconds for 1 minute. Write a function that models this situation. Determine a domain from the situation, graph the function, and identify the range. Use set notation for the domain and range.

2.If a and b are real numbers such that a < b, use interval notation to write four different intervals having a and b as endpoints. Describe what numbers each interval includes. 3.What impact does restricting the domain of a linear function have on the graph of the function?

4. An elevator in a tall building starts at a floor of the building that is 90 meters above the ground. The elevator descends 2 meters every 0.5 second for 6 seconds. (Use an inequality for the domain and range of the function that models this situation.)