The equation that can be used to calculate the cost (y) to mail a package of any weight (x) is y = 3/2x. In this case, the slope is 3/2.The correct answer is option A.
Let's break down the equation to understand it better. The equation is in the form of y = mx, where m represents the slope of the line. In this case, the slope is 3/2.
The slope tells us how much the cost (y) changes for every unit increase in weight (x). In this equation, for every 1 unit increase in weight, the cost increases by 3/2 units.
For example, if the weight of the package is 4 units, we can substitute x with 4 in the equation:
y = 3/2(4)
y = 6
So, the cost to mail a package weighing 4 units would be 6 units.
In conclusion, the equation y = 3/2x can be used to calculate the cost to mail a package of any weight.
Therefore the correct answer is option A.