Linear equations can be used to model real world data. We solve a linear equation that models a real world problem graphically, symbolically, and numerically.
The Problem |
The linear function given by models the number of radio stations on the air from 1950 to 1995. (Source: National Association of Broadcasters.) Determine an equation whose solution is the year when there were 10000 radio stations on the air and then solve the equation graphically, symbolically, and numerically. |
Graphical Solution | Symbolic Solution | Numeric Solution
Special Note |
All types of solutions, including graphical, symbolic and numeric, give approximately the same solution to an equation. All are equally "good" solutions when all that is needed is an approximate solution. Exact solutions are usually found by using symbolic methods, as we use in traditional algebra. |
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