Analyze graph transformations caused by f(x)+k, kf(x), f(kx), and f(x+k); identify even/odd functions.
Interpret a function transformation in context
Problem
A pricing plan changes from \(C(n)~=~5n~+~20~\text{dollars}\) to \(D(n)~=~5n~+~30~\text{dollars}\). Express \(D\) in terms of \(C\), identify what changed and stayed the same, and interpret the contextual effect.
Big Picture
What this problem is really about
Compare the two pricing rules term by term while keeping the contextual units attached. The coefficient of the item count represents the per-item rate, and the constant represents the fixed fee. Subtracting the models at the same input will isolate the transformation and show whether the difference depends on how many items are purchased.
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