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Write and Graph Equations

Write and Graph Equations. Learning Goal for Focus 2(HS.A-CED.A.1 , 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple representations and solve linear equations and inequalities in one variable explaining the logic in each step. Getting a Speeding Ticket.

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Write and Graph Equations

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  1. Write and Graph Equations

  2. Learning Goal for Focus 2(HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3): The student will create equations from multiple representations and solve linear equations and inequalities in one variable explaining the logic in each step.

  3. Getting a Speeding Ticket Cost of a Speeding Ticket 210 • Label what you know: • Speeding ticket = C • $15 per mile over limit • “x” how many miles over speed limit. • Write an equation. • 15x = C • Make a Graph • Start with a t-chart to know what values your graph will need to be. • Plot your points and connect them. 195 180 165 C O S T $ 150 135 120 105 90 75 60 45 30 15 Miles over the Speed Limit Greg lives in a state in which speeders are fined $15 for each mile per hour over the speed limit. Write an equation that will determine the cost “C” for any speeding ticket that is written. Graph your equation. Image from http://schools.iclipart.com

  4. Money Comparing our Money • Label what you know: • My starting amount= $60 • My savings each week= $5 • Her starting amount = $135 • Her spending each week = $10 • “w” number of weeks. • Write your equation. • 60 + 5w = T • Write your sister’s equation. • 135 - 10w = T • Make a Graph • Start with a t-chart to know what values your graph will need to be. • Plot your points and connect them. 140 130 120 110 100 90 T O T A L $ 80 70 60 50 40 30 20 10 Number of Weeks Currently, you have $60 and your sister has $135. You decide to save $5 of your allowance each week, whereas your sister decides to spend her whole allowance plus $10 per week. Write an equation that will calculate the total, T, you have after w amount of weeks. Write an equation that will calculate the total, T, your sister will have after w amount of weeks. Graph both equations on the same graph. Image from http://schools.iclipart.com

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