Final answer:
The equivalent ratio of x to o for the given ratio 15/10 is 3/2, which simplifies the original ratio by dividing both numbers by 5. Option B (3/2) is the correct answer.
Step-by-step explanation:
The given problem involves finding an equivalent ratio for x to o given the ratio 15/10. One must realize that the ratio 15/10 can be simplified by dividing both the numerator and the denominator by the common factor 5, which simplifies the ratio to 3/2. Therefore, the equivalent ratio of x to o is 3/2, which matches option B.
To show the process more generally, one could set up a proportion such as 15/10 = x/o and solve for x and o that satisfy this proportion while being different from 15 and 10, respectively. However, in this case, since we only have the options listed, we would look to see which one is a simplified form of 15/10 or can be scaled up to 15/10. We see that 3 times 5 equals 15, and 2 times 5 equals 10, so the ratio 3/2 scaled up by a factor of 5 gives us the original ratio of 15/10.