Final answer:
The absolute value of the slope of the resulting budget line is 5.
Step-by-step explanation:
The absolute value of the slope of the resulting budget line can be determined by dividing the price of product Y by the price of product X, since the slope represents the opportunity cost of one product in terms of the other. In this case, the slope is $15/$3 = 5. Therefore, the correct answer is A. The absolute value of the slope of the resulting budget line is 5.