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Section 2.4

Section 2.4. Using Linear Models. Example 1.

alexandra-brennan
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Section 2.4

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  1. Section 2.4 Using Linear Models

  2. Example 1 • Transportation: Jacksonville, Florida has an elevation of 12 ft above sea level. A hot-air balloon taking off from Jacksonville rises 50 ft/min. Write an equation to model the balloon’s elevation as a function of time. Graph the equation. Interpret the intercept at which the graph intersects the vertical axis.

  3. Example 2 • Hot-air Balloon: Suppose a balloon begins descending at a rate of 20 ft/min from an elevation of 1350 ft. • Write an equation to model the balloon’s elevation as a function of time. What is true about the slope of this line? • Graph the equation. Interpret the intercept.

  4. Example 3 • Science: A candle is 6 in. tall after burning for 1 h. After 3 h. it is 5 ½ in. tall. Write a linear equation to model the height y of the candle after burning x hours. • What does the slope represent? • What does the y-intercept represent? • Another candle is 7 in. tall after burning for 1h and 5 in. tall after burning for 2 h. Write a linear equation to model the height of the candle.

  5. Example 4 • Example 4: Using a Linear Model: • Use the equation in Example 3. In how many hours will the candle be 4 in. tall? • How tall will the candle be after burning for 11 h? • What was the original height of the candle? • When will the candle burn out?

  6. Example 5 • Automobiles A woman is considering buying a 1999 car priced at $4200. She researches prices for various years of the same model and records the data in a table. • Let x represent the model year. Let y be the price of the car. Draw a scatter plot. Decide whether a linear model is reasonable. • Draw a trend line. Write an equation of the line. Determine whether the asking price is reasonable.

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