1. Solving Systems of Linear Equations by Graphing
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Where does each pair of lines intersect?
How many systems of two linear equations can you think of when looking at the graph?
| Companies | Number of Binders When the Cost Is the Same |
|---|---|
| A & B | ≈35 |
| B & C | ≈20 |
| A & C | ≈50 |
See solution.
To find for what number of binders the costs are the same for two different companies, we have to identify the approximate points at which the graphs intersect.
From the graph we can conclude the following approximations about the numbers of binders.
| Company comparison | Number of Binders When the Cost Is the Same |
|---|---|
| A & B | ≈35 |
| B & C | ≈20 |
| A & C | ≈50 |
We can treat each pair of companies as a system of linear equations. The number of binders found in Part A are x-coordinates of the solutions to each of these systems of equations.