Create equations in two or more variables and graph them with appropriate labels and scales.
Write a two-variable linear equation from a fixed amount and a rate
Problem
Write a \(\text{two}\text{-}\text{variable}\) linear equation for a cost \(C\) of \(\$12\) plus \(\$4~\text{per}~\text{item}\) \(x\).
Big Picture
What this problem is really about
This cost has a fixed part paid once and a variable part that grows by the same amount for each item. We’ll define the input as the item count and the output as total cost, then write output equals rate times input plus fixed amount and verify that the rate and starting value match the context.
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