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2.4 Using Linear Models
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Slope is “rate of change” Examples: Look for KEY words! 23 miles per gallon 20 gallons/second 3 inches each year $3 a ticket
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Problem Type 1: A rate is given A balloon is released from the roof (at 30 feet above ground). The balloon rises at a rate of 12 feet per second. Write an equation to model the balloon’s height h after t seconds.
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Problem Type 2: No rate is given, find it from points. (Identify the independent and dependent values) There were 174 words typed in 3 minutes, 348 words typed in 6 minutes. How many words will be typed in 8 minutes? Hint: Usually time is the x-value.
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2.4 Using Linear Models HW: Page 81 #1-8 all, 16, 19
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Warm-up Activity Lab p. 86
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Scatter Plots Graphs that relate two different sets of data by plotting the data as ordered pairs. Used to determine the relationship between data sets (for example, x and y values). Trend line: a line that approximates the relationship between the data sets of a scatter plot. Used to make predictions.
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Scatter Plots Ex 3) A student is considering buying a 1999 car for $4200. She researches prices for various years of the same model and records the data in a table. a.Let x represent the model year and y be the price. Draw a scatter plot. Decide whether a linear model is reasonable. b.Use your graphing calculator to find a trend line for the data. Determine whether the asking price is reasonable.
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2.4 Using Linear Models Page 81 # 13, 19, 21
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