In the equation \( c = 5 + 12x \), the coefficient of the term \( x \) is 12. This coefficient indicates the rate of change of the variable \( c \) with respect to \( x \).
Here are a few possible interpretations of the coefficient 12:
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Rate of Change: For each unit increase in \( x \), the value of \( c \) increases by 12 units.
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Slope of the Line: If this equation is graphed as a linear equation \( c \) vs. \( x \), the coefficient 12 represents the slope of the line, indicating the steepness of the line.
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Incremental Increase: If \( x \) represents a certain quantity (like hours worked, items sold, etc.), then an increase in that quantity by 1 unit results in an increase in \( c \) of 12 units.
Choose the statement that best reflects these interpretations for your specific context.
5 answers