Final answer:
The correct options representing the ratio of wins to total games for the local basketball team are 12/18 and 2/3, as they are equivalent. Option A is also an approximation of the correct answer but option D is incorrect.
Step-by-step explanation:
The correct answer is options B and C. The ratio of wins to total games played by the local basketball team can be represented in several ways, but not all the options given are equivalent. The team won 12 out of 18 games, which can be written as the fraction 12/18. This fraction can be simplified by dividing both the numerator and the denominator by 6, resulting in 2/3. Now, 66.7% is an approximation of 2/3 when converted into a percentage (as 2 divided by 3 is approximately 0.6667, which is 66.67%), so option A is also a correct representation. However, option D, which is 0.6 or 60%, does not represent the correct ratio as it is not equivalent to 12/18 or 2/3.
The ratio of wins to total games can be represented as 12/18. To find the ratio, divide the number of wins (12) by the total number of games (18). This simplifies to 2/3. Option A (66.7%) is an equivalent representation of 2/3, as it is the decimal form of the fraction. Option C (2/3) is the exact ratio that represents the number of wins to total games. Option D (0.6) is not an accurate representation of the ratio, as it would mean that the team won 60% of their games, which is different from winning 2/3 of the games.