Create equations in two or more variables and graph them with appropriate labels and scales.
Graph a created equation in context
Problem
Graph \(C=4x+12\) on the displayed coordinate plane, where \(x\) is a whole-number item count and \(C\) is cost in dollars for \(0\le~x\le~20\). Show and explain the axes, intercept, rate, domain, and discrete representation.
The graph has to communicate both the linear rule and the item-count context. We’ll place items on the horizontal axis and cost on the vertical axis, use the fixed fee as the starting point and the per-item charge as the rise, then plot only whole-number inputs across the stated domain as separate points.
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