For a package weighing 3 pounds, the cost to mail is $9, as per the equation , where is the cost in dollars and is the weight in pounds.
The provided equation models the relationship between the cost (\(y\)) and the weight of a package in pounds. Substituting 3 for in the equation, we get , simplifying to , resulting in . Hence, the cost to mail a package weighing 3 pounds is $9.
This equation represents a linear relationship where the cost increases by $2 for every additional pound of weight, and the constant term of $3 represents the base cost.
The slope of 2 indicates the cost per pound. Understanding and utilizing such equations are essential for predicting costs based on weight and gaining insights into the linear nature of the relationship between variables in practical scenarios, such as postal services and shipping costs.
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