1. 2.4 – Using Linear Models

2. Example 1  A car enters the interstate 5 miles east of Lincoln. The car travels at an average speed of 70 mph. Write an equation for the distance d (miles) from Lincoln t hours after entering the interstate.  How long will it take the car to reach Omaha (53 miles from Lincoln)?

3. Example 2  The cost of producing 4 widgets is $204.80. The cost of producing 8 widgets is $209.60. If the data is linear, find a model (equation). Use the model to predict how much it costs to produce 12 widgets.  What is the y-intercept? What does it mean about the production of the widgets? Predicting with Linear Models

4. Example 3  The cost of producing 100 books is $517 and the cost of producing 500 books is $1400. If the data is linear, find a model and use it to predict the cost of producing 1000 books.

5. Example 4  In 1975 the Leaning Tower of Pisa’s lean was 2.9641 meters and in 1987 its lean was 2.9758 meters. If the data is linear, find a model and use the model to predict how far the lean is in 2012.

6. Example 5  Graph the data (on the calculator). Is a linear model reasonable?  If a linear model is reasonable, use the calculator to determine the linear model. XY 23.5 44.9 66.3 84.6 102.9 Predicting with Linear Models

7. Example 6  Graph the data (on the calculator). Is a linear model reasonable?  If a linear model is reasonable, use the calculator to determine the linear model. XY 12.1 33.1 54 75.2 95.9

8. Example 7  The chart models shoe sizes in US vs. European sizing.  Graph the data (on the calculator). Is a linear model reasonable?  Estimate the European equivalent of a US 6.  Use the calculator to find a linear model.  Use the linear model to predict the European equivalent of a US 6.  Use the linear model to predict the US equivalent of a European 48. U.S. SizeEuropean Size 131 334 536 739 941 1144