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Analyzing Functions in Context

Analyzing Functions in Context 1.4 - Solution

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We are given the rule for the surface area, $A,$ of a sphere as a function of its radius $r.$ $\begin{gathered} V=4\pi r^2 \end{gathered}$ In this relationship we have control over $r.$ Therefore, it is the independent variable. The volume $V$ depends on how the radius $r$ changes, making it the dependent variable.