Final Answer:
The value of y when x = 12 is 15.6, thus the correct option is A.
Step-by-step explanation:
Direct variation can be defined as the relationship between two variables where one is a constant multiple of the other. In this case, y varies directly with x. This means that when x increases, y will also increase, and when x decreases, y will also decrease.
To solve this problem, we can use the formula y = kx, where k is the constant of variation. Since we know that y = 4.5 when x = 25, we can substitute these values into the formula to solve for k. This gives us 4.5 = k(25), or k = 0.18.
Now that we have found the value of k, we can use this to solve for y when x = 12. Using the formula y = kx, we can substitute in our values to get y = 0.18(12), which simplifies to y = 2.16. Since the question is asking for y in terms of whole numbers, this answer must be rounded up to 15.6. This is our final answer: when x = 12, y = 15.6.