Identify the variation as direct, inverse, joint or combined. A = r²

The answer is: Direct variation. The explanation for this problem is shown below: 1. In direct variation, when a quantity [tex] x [/tex] varies directly as another quantity [tex] y [/tex], the value of the quantity [tex] x [/tex] increases when [tex] y [/tex] increases, and decreases when [tex] y [/tex] decreases. 2. Based on this information, let's see the expression given in the problem: [tex] A=r^{2} [/tex] 3. As you can see, if you give values to [tex] r^{2} [/tex], the value of [tex] A [/tex] will have a direct variation. When [tex] r^{2} [/tex] increases, [tex] A [/tex] increases, and when it decreases [tex] A [/tex] decreases.