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2-5-14 “Retro Wednesday” - Linear Representations, Part 2 Solving Systems with SUBSTITUTION YOU NEED: Your Textbook Your homework Sharpened pencil and notebook paper BE IN YOUR SEAT AND READY BY 10:50 !!! Retro Wednesday Refresh Warm-Up/Bellwork A linear function is a function that has a straight line graph. We can represent linear functions using an equation, a set of ordered pairs, a table or a graph. Manuel is saving money for college. He already has $250. He plans to save another $50 per month. Write a function to represent the situation: savings = $250 he now has + $50 per month s = 250 + 50m Manuel is saving money for college. He already has $250. He plans to save another $50 per month. Now make a function table to find his total savings after 2, 4, 6, 8 and 10 months m 250 + 50m s 2 4 6 8 10 250 + 50(2) 250 + 50(4) 250 + 50(6) 250 + 50(8) 250 + 50(10) 350 450 550 650 750 m 250 + 50m s 2 4 6 8 10 250 + 50(2) 250 + 50(4) 250 + 50(6) 250 + 50(8) 250 + 50(10) 350 450 550 650 750 What are the ordered pairs for this function? (2, 350), (4, 450), (6, 550), (8, 650), (10, 750) Graph the function using the ordered pairs: (2, 350), (4, 450), (6, 550), (8, 650), (10, 750) Discrete data have space between possible data values. IF the domain of a function is integers, then it is a DISCRETE function. Examples: the number of glasses on a shelf, the number of chips in a bag. IF the domain of a function is real numbers (fractions, decimals) then it is a CONTINUOUS function. Examples: the number of ounces in a glass, the weight in grams of each chip Manuel’s situation is DISCRETE because we can’t compute his savings for a part of the month. YOUR TURN . . . Each member of a health club receives two free guest passes. Write a function to represent the situation. Make a function table to show the number of guest passes given out to 10, 20, 30, and 40 members. Graph the function . Is the function discrete or continuous? Write a function to represent the situation. Make a function table to show the number of guest passes given out to 10, 20, 30, and 40 members. Graph the function . Is the function discrete or continuous? y = 2x where y represents total number of guest passes and x represents the number of members x 2x y 10 2(10) 20 20 2(20) 40 30 2(30) 60 40 2(40) 80