2-4 Using Linear Models

Objectives: 1. To write linear equations that model real world data.

2. To make predictions from linear models.

Example 1: Suppose an airplane descends at a rate of from an elevation of . Write and graph an equation to model the planes elevation as a function of the time it has been descending. Interpret the intercept at which the graph intersects the vertical axis.

Example 2: A candle is Tall after burning for . After , it is Tall. Write a linear equation to model the height of the candle after burning hours.

Example 3: Use the equation from example 2 to estimate. a) In how many hours will the candle be . tall.

b) How tall will the candle be after burning for .

Example 3: Use the equation from example 2 to estimate.

Scatter Plot» A graph that relates two different sets of data by

plotting the data as ordered pairs.» Trend Line – a line that approximates the relationship

between the data sets of a scatter plot

Trivia…

2. What age was the youngest actress to win an academy award?

1. What is the name of Sponge Bob Squarepants' boss?

Mr. Krabs

10 years old-Tatum O'Neil

Example 4: A woman is considering buying a 2006 model of a Ford Focus. She researches prices for various years of the same model and records the data.

Model Year 2007 2008 2009 2010 2011

Prices$5764 $6810 $8237 $9960 10,948$5435 $6207 $7751 $9127 10,455

Homework:

» P 81 – 82: 3, 4, 7-13