Final answer:
The correct answer is A) 180. By setting up a proportion based on the given ratio of 1:250, we find that 180 security personnel are needed for 45,000 spectators.
Step-by-step explanation:
To determine how many security personnel will be needed at a sporting event where the ratio of security personnel to spectators is 1:250, and there are 45,000 spectators, we can set up a proportion:
1 (security personnel) / 250 (spectators) = x (security personnel) / 45,000 (spectators)
Multiplying both sides of the equation by 45,000 gives us: x = (1 * 45,000) / 250
So x = 45,000 / 250 = 180 security personnel.