A hiking club had \(60~\text{members}\) last year and \(75~\text{members}\) this year. Evaluate every statement below as a representation of this change.
A. The club had a \(25\%\) increase.
B. The club had a \(20\%\) increase.
C. The change can be written as \(15/60~=~0.25\).
D. The percent change can be found with \((75~-~60)~/~75\).
E. \(75\) is \(125\%\) of \(60\).
F. The increase of \(15~\text{members}\) is \(25\%\) of the new membership.
Include every statement that is correct.
What this problem is really about
We’ll establish the club’s actual change first and compare it with last year’s original membership. That target ratio lets us test every percent claim, equation, and whole-to-whole statement without accepting a matching-looking number. Each statement must preserve the correct base and interpretation, and the final set must include every valid representation.