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Transcript
Goals: Graph and interpret equations in slopeintercept form that model real life situations. Use a graphing calculator to graph linear equations. Eligible Content: A1.1.2.1.1 / A1.1.2.1.3 / A1.2.1.1.1 / A1.2.1.2.1 A1.2.1.2.2 / A1.2.2.1.3 / A1.2.2.1.4 Slope is rate of change y-intercept is the beginning amount Find the y-intercept and tell what it reveals about the situation. Cookies The graph shows the number of cookies left on a plate after time has passed at a party. Find the slope and tell what it reveals about the situation. 22 20 18 16 14 12 10 8 6 4 2 0 0 2 4 6 8 Time (in minutes) 10 The equation h = ½ t + 24 models changing river heights. h represents the height of the river (in feet) and t represents the time (in hours) since the flooding began. • What does the slope of the equation reveal about this situation? • What does the y-intercept of the equation reveal about this situation? The equation s = 15t + 25 models changing speeds of a car as it enters an expressway. s represents the speed of the car (in miles per hour) and t represents the time (in minutes). • What does the slope of the equation reveal about this situation? • What does the y-intercept of the equation reveal about this situation? Equations must be in slope intercept form. Press Y= button Type in equation Press GRAPH button To change the x and y axes press WINDOW Graph each equation on your calculator: 1. y = 3x + 4 2. y = -5x + 7 3. 2x + y = 8 4. 3x – 2y = 10 Graph each of the word problems from earlier in class: River: y Car: y = ½ x + 24 = 15x + 25 None