3.5 slope intercept form applications ink.notebook. October 31, Page 119. Page 120. Page SlopeIntercept.
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1 3.5 slope intercept form applications ink.notebook Page 119 Page 120 Page SlopeIntercept Form Applications Lesson Objectives Standards 3.5 Slope Intercept Form Applications Press the tabs to view details. Standards Lesson Notes A.SSE.2 A.CED.2 A.REI.10 F.IF.2 F.IF.4 F.IF.7 F.IF.8 F.BF.1 I will rewrite a linear function into slope intercept form I will write the equation of a line from a given graph in slope intercept form I will graph a linear function and show that the points on the graphs are solutions I will evaluate a function in slope intercept form for a specific value I will graph a function using slope and y intercept I will graph a linear function using slope and y intercepts I will convert standard form to slope intercept form I will write a linear function from a graph into slope intercept form F.LE.2 I will write a linear equation into slope intercept form from a graph Press the tabs to view details. 1
2 Lesson Objectives Standards Lesson Notes A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. a. Graph linear and show intercepts. S.ID.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data Write the equation of each line in slope intercept form. y = mx + b Press the tabs to view details. Write the equation of each line in slope intercept form. y = mx + b
3 3.5 slope intercept form applications ink.notebook 5. Explain HOW you would graph the line y = 2x 3. Write an equation of a line in slope intercept form with the given slope and y intercept. y = mx + b 6. slope: 8, y intercept 3 7. slope: 1, y intercept 7 3
4 3.5 slope intercept form applications ink.notebook Write the equation of each line in slope intercept form and then graph it. 8. slope: 2, y intercept 1 9. slope: 1, y intercept The Ace Tool Company rents out a floor waxer for $50 per hour plus $7 for the wax. Suppose you rent a waxer for x hours. Write an equation in slope intercept form that shows what the total cost y will be. 11. Write an equation of the line in slope intercept form if it has a y intercept of 5 and the same slope as the line with the equation y = 3x
5 3.5 slope intercept form applications ink.notebook 12. In 2007, about 2.6 million girls completed in high school sports. The number of girls competing in high school sports has increased 0.06 million per year since a) Write a linear equation to find the number of girls in high school sports after b) Estimate the number of girls competing in The ideal maximum heart rate for a 25 year old exercising to burn fat is 117 beats per minute. For every five years older than 25, that ideal heart rate drops three beats per minute. a) Write a linear equation to find the ideal maximum heart rate for anyone over 25 who is exercising to burn fat. b) Find the ideal maximum heart rate for a 55 year old person exercising to burn fat. 5
6 Write the equation of each line in slope intercept form. y = mx + b On Your Whiteboards a) b) Write an equation of a line in slope intercept form with the given slope and y intercept. y = mx + b c) slope: 2, y intercept 1 On the Worksheet 6
7 Write the equation of each line in slope intercept form. y = mx + b Homework 3. Write an equation of a line in slope intercept form with the given slope and y intercept. y = mx + b 4. slope: 5, y intercept 4 5. slope: 3, y intercept 6 6. slope: 3, y intercept 10 7
8 7. Write an equation of the line in slope intercept form if it has a y intercept of 3 and the same slope as the line with the equation 8. Since 1999, the number of music cassettes sold has decreased by an average rate of 27 million per year. There were 124 million music cassettes sold in a) Write a linear equation to find the average number of music cassettes sold in any year after b) Find the approximate number of music cassettes sold in Randall is buying a new stereo system for his car using a layaway plan. a) Write an equation for the total amount S that he has paid after w weeks. 10. Wade's grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that costs $275. Each month, he adds $25 to his MP3 savings. Write an equation in slopeintercept form for m, the number of months that it will take Wade to save $275. b) Find out how much Randall will have paid after 8 weeks. 8
9 11. Ana is driving from her home in Miami, Florida, to her grandmother s house in New York City. On the first day, she will travel 240 miles to Orlando, Florida, to pick up her cousin. Then they will travel 350 miles per day. a) Write an equation for the total number of miles m that Ana has traveled after d days. 12. In 1991, 1267 manatees inhabited Florida s waters. The manatee population has increased at a rate of 123 manatees per year. a) Write an equation for the manatee population, P, t years since b) It is 1293 miles from Miami to New York City. How long will the drive take? Round to the nearest whole number. b) In 2006, the manatee was removed from Florida s endangered species list. What was the manatee population in 2006? 13. For Illinois residents, the average tuition at Chicago State University is $157 per credit hour. Fees cost $218 per year. Write the equation of each line in slope intercept form and then graph it. 14. slope: 3, y intercept: 4 a) Write an equation is slope intercept form for the tuition T for c credit hours. b) Find the cost for a student who is taking 32 credit hours. 9
10 Answers: $155 10
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