Final answer:
The value of X is found by rearranging the equation A = cd/x to X = cd/A. With the given values, X is initially 30.00. If A is halved, the value of X is doubled, becoming 60.00.
Step-by-step explanation:
Given the equation A = cd/x, and knowing the values C = 9.00, D = 10.00, and A = 3.00, we can find the value of X by rearranging the equation to solve for X. The rearranged equation is X = cd/A. Plugging in the values, we get X = (9.00 * 10.00) / 3.00, which simplifies to X = 30.00.
If A is halved while C and D remain the same, the new value for A becomes 1.5. The new equation will be X = cd/(A/2) or X = 2cd/A, which is X = 2*(9.00*10.00)/3.00. So the value of X after halving A is 60.00, which is double the original value of X, so the correct answer is the value of X is doubled (Option C).