Final answer:
The scale of the map is 1 centimeter represents 25 meters.
Step-by-step explanation:
To determine the scale of the map, we need to find the ratio of the length of the swimming pool in real life to the length of the pool on the map. The length of the pool in real life is 50 meters, and on the map, it is represented as 2 centimeters. We want to find how many centimeters represent 50 meters.
We can set up a proportion using the ratio: 50 meters / 2 centimeters = x meters / 1 centimeter. To solve for x, we can cross-multiply: 50 × 1 = 2 × x. This simplifies to 50 = 2x. Dividing both sides by 2 gives us x = 25.
Therefore, the scale of the map is 1 centimeter represents 25 meters.