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5.3 slope-intercept form

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March 21, 2012Linear Functions: y = mx + bExamples49. Retail SalesSuppose you have a $5-off coupon at a fabricstore. You buy fabric that costs $7.50 per yard.Write an equation that models the total amountof money y you pay if you buy x yards of fabric


50. TemperatureThe temperature at sunrise is 65 degrees F.Each hour during the day, the temperaturerises 5 degrees F. Write an equation thatmodels the temperature y, in degrees F, afterx hours during the day.March 21, 2012


March 21, 201259. Think About a PlanPolar bears are listed as a threatened species.In 2005, there were about 25,000 polar bears inthe world. If the number of polar bears declinesby 1000 each year, in what year will polar bearsbecome extinct?What equation models the number of polar bears?How can graphing the equation help you solvethe problem?


March 21, 201261. ComputersA computer repair service charges $50 fordiagnosis and $35 per hour for repairs.Let x be the number of hours it takes to repairthe computer. Let y be the total cost of the repair.a. Write an equation in <strong>slope</strong>-<strong>intercept</strong> <strong>form</strong> thatrelates x and y.b. Graph the equation.c. Why should you draw the line in Quadrant 1?


March 21, 2012Slope-Intercept <strong>form</strong>y = mx + bm = _____________ andb = _________________Sometimes you have to solve an equation for y.51. y - 2 = -3x 52. y + ½ x = 0


53. y - 9x = ½ 54. 2y - 6 = 3xMarch 21, 2012


55. -2y = 6(5 - 3x) 65. y + 2 = 5x - 4March 21, 2012

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