MS Algebra A-F-IF-7 – Ch. 6.3b Solving Real World Problems with the Point-Slope Form ALGEBRA SUPPORT (Homework) Solving Problems by Writing Equations in Point-Slope Form

By the end of the period, I will apply the point-slope form to write equations and solve real world problems. I will demonstrate this by completing Four- Square Notes and by solving problems in a pair/group activity. SUPPORT Learning Target Title: 6.3b Apply Point-Slope Form to Solve Real World ProblemsDate:

Home Work : 1) Class 4-Square Notes Put In Binder? 2) Section 6.3 Pg ) Section ______ TxtBk.Prob.#45-49 ALL Notes Copied on blank sheet Solved and Put in Binder?of paper in Binder? Table of Contents DateDescriptionDate Due

Notes: How To Get To Point-Slope Form Given One Point & SLOPE Step 1) Plug m and one point into y – Y 1 = m(x – X 1 ) Step 2) Solve for y (if you want slope-intercept form) xy X1X1 Y1Y1

Solve a multi-step problem HW # 45 In order to use an excerpt fro a movie in a new television show, the television producer must pay the director of the movie $790 for the first 2 minutes of an excerpt and $130 per minute after that. TELEVISION A) Write an equation that gives the total cost (in dollars) of using the excerpt as a function of the length (in minutes) of an excerpt that is 2 minutes long or longer. B) Find the total cost of using an excerpt that is 8 minutes long.

Write a real-world linear model from a table HW #46 A school district pays an installation fee and a monthly fee for Internet service. The table shows the total cost of Internet service for the school district over different numbers of months. Explain why the situation can be modeled by a linear equation. What is the installation fee? What is the monthly service fee? Internet Services Months of Service Total Cost (dollars) 9,37812,80616,23419,66223,09026,518 We can make a linear equation because __________________________ ____________________________________________

Write a real-world linear model from a table HW #46 Continued A school district pays an installation fee and a monthly fee for Internet service. The table shows the total cost of Internet service for the school district over different numbers of months. Explain why the situation can be modeled by a linear equation. What is the installation fee? What is the monthly service fee? Internet Services Months of Service Total Cost (dollars) 9,37812,80616,23419,66223,09026,518 Installation Fee: Monthly Service Fee: Equation:

Storm Check (Think, Write, Discuss, Report) If you are given the slope and one point, how can you create a linear equation that is in point-slope form? (2-3 sentences) When given the slope and one point, I can create a linear equation in point-slope form by _____________ _______________________________________________ ______________________________________________.

Notes: How To Get To Point-Slope Form Given Two Points Step 1) Make a table Use the two points to calculate SLOPE ( m ) xy X1X1 Y1Y1 X2X2 Y2Y2 Step 2) Plug m and one point into y – Y 1 = m(x – X 1 ) Step 3) Solve for y (if you want slope-intercept form) m = Y 2 – Y 1 X 2 – X 1

HW #47 During the period , the annual sales of a small company increased by $10,000 per year. In 1997 the annual sales were $97,000. Which equation gives the annual sales S (in dollars) as a function of the time T (in years) since 1994? (SHOW YOUR WORK!) Multiple Choice A) S = 10,000T + 97,000 B) S = 10,000T + 100,000 C) S = 10,000T + 67,000 D) S = 10,000T – 3,000

Solve a multi-step problem HW # 48 From 1996 to 2003 in San Diego, California, the annual excess fuel (in gallons per person) consumed due to traffic delays increased by about 1.3 gallons per person each year. In 1999 each person consumed about 15 gallons of excess fuel. TRAFFIC DELAYS A) Write an equation that gives the annual excess fuel (in gallons per person) as a function of time (in years) since B) How much excess fuel was consumed per person in 2001?

HW # 49 The table below shows a marathon runner’s speed at several outdoor temperatures. Write a equation in point-slope form that relates running speed (in feet per second) to temperature (in degrees Fahrenheit). Estimate the runner’s speed when the temperature is 80⁰F? MARATHON Temperature (⁰F) Running Speed (ft/sec) ???

Storm Check (Think, Write, Discuss, Report) If you are given a table of data points, how can you determine if you can use a linear equation to model the situation? (2-3 sentences) When given a table of data points, I can determine if I can use a linear equation to model the situation by _______________________________________________ ______________________________________________.

1)Slope 2) y-intercept 3)Data Pair 4)Slope-Intercept Form 5)Point-Slope Form Vocabulary