Identify every representation that shows a starting value of \(10\).
A. A table where \(x~=~0\) gives \(y~=~10\), and each time \(x~\text{increases}~by~1\), \(y~\text{increases}~by~4\)
B. The rule \(y~=~10x~+~4\)
C. A line that passes through the point \((0,~10)\)
D. A phone plan that starts with a \(\$4\) fee and then costs \(\$10~\text{per}~\text{gigabyte}\)
E. A table where \(y~\text{is}~10\) when \(x~=~1\), and \(y~\text{is}~14\) when \(x~=~2\)
F. The statement, “The amount is \(10\) before any change happens.”
What this problem is really about
Use one invariant test across every form: a starting value of ten means the output is ten when the input is zero. Check zero-input rows or intercepts directly, substitute zero into rules, and translate “before any change” language into the same condition. Ignore a ten that appears only as a rate or at a nonzero input.