Final answer:
The ratio of the number of women participating to the number of men participating in a triathlon is A)1:17, simplifying the initial ratio of 2:34.
Step-by-step explanation:
The question asks about finding the ratio of the number of women participating to the number of men participating in a triathlon. To calculate this ratio, we divide the number of women by the number of men and then simplify if possible. There are 2 women and 34 men, so the ratio is 2 women to 34 men. This can be simplified by dividing both numbers by 2, which gives us the simplified ratio of 1 woman to 17 men.
In ratio notation, the answer is 1:17, which corresponds to option (a).