Create equations in two or more variables and graph them with appropriate labels and scales.
Write a quadratic equation in two variables from a verbal situation
Problem
Write a quadratic equation in \(\text{two}~\text{variables}\) for the area \(A\) of a rectangle with length \(x+3\) and width \(x\).
Big Picture
What this problem is really about
The two variables play different roles: x controls the rectangle’s dimensions, while A records the resulting area. We’ll multiply length by width to connect them, and that product creates an x-squared term, confirming that the two-variable relationship is quadratic.
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