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Problem of the Day A marching band has 72 members. What rectangular formations are possible if each row and each column must have at least 6 members?
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Interpreting Linear Functions Chapter 2 Section 2.3
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Interpreting Linear Functions Thus far, you have written linear equations using slope-intercept form. You should also be able to find the equation of a line given two points on the line.
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Interpreting Linear Functions Example 1 A candle is 6 in. tall after burning for 1 hour. After 3 hours, it is 5 1 / 2 in. tall. Write an equation to model the height y of the candle at time x.
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Interpreting Linear Functions 1.In Example 1, what does the slope - 1 / 4 represent? What does the value of 6 1 / 4 represent? 2.Using the information from Example 1, predict when the candle will be 4 in. tall. Explain how you made your prediction. 3.For Example 1, what are realistic values for the domain and range?
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Interpreting Linear Functions 4.Write the equation of each line. a. Pass through the points (-1, 3) and (3, -5). b. Contains the point (2, 5) and has a y-intercept of -1
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Interpreting Linear Functions The standard form of an equation of a line is ax + by = c where a, b, and c are integers. Notice that x and y are on the same side of the equal sign. 5. a. Rewrite the equation from Example 1 in standard form. b. List the steps you used for part (a) in order.
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Interpreting Linear Functions 6.Write each linear equation in standard form. a. y = 2x + 7b. -4y + x = -12 c. x + 7 + 1 = 0
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Interpreting Linear Functions Example 2 In 1997, Lalia considered buying a 1991 car with an asking price of $1400. She researched prices for various years of the same model and recorded the data in the table on page 70. a.Graph the data. Decide if a linear model is reasonable. b.Determine a fair price for the car. Is the asking price reasonable?
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Interpreting Linear Functions 7.Do you think you could use this model to predict the price of a 9-year-old care today? Explain. 8.Under what conditions would the asking price of the car differ greatly from the price the model predicts?
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Assignment Pgs. 71-73 (1-45 odd)
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