Final answer:
To solve the expression 12.5(3 + 2w), distribute 12.5 across both terms inside the parentheses to get 37.5 + 25w, which is option B).
Step-by-step explanation:
This has asked to simplify the expression 12.5(3 + 2w). To do this, we need to distribute 12.5 across the terms inside the parentheses. 12.5 × 3 = 37.5, 12.5 × 2w = 25w. When we combine these, we get 37.5 + 25w, which corresponds to option B). Therefore, the correct simplified form is represented by option B). This process illustrates the fundamental concept of distribution in algebra, where each term within the parentheses is multiplied by the external factor, leading to a streamlined and consolidated expression.