Translate verbal phrases and short contexts into algebraic expressions.
Translate fixed-plus-changing contexts
Problem
A streaming service charges a \(\$12\) sign-up fee and \(\$8~\text{per}~\text{month}\). Let \(m\) represent the number of months. Write an expression for the total cost.
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What this problem is really about
Split the total into a one-time part and a repeating part. The sign-up fee appears once as a constant, while the monthly rate must be multiplied by the number of months. Add those two pieces, and check the structure by imagining zero months: only the fixed fee should remain.
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