Answer:
The lake is 12.5 cm on the map.
Explanation:
1 cm / 80 m = x/ 1000 m
That is the proportion you need to solve the problem. You know that the scale of the map is 1 cm and that 1 cm represents 80 meters of lake
That's 1 side of the proportion. The other side comes from x on the map which represents 1000 meter.
1 cm / 80 m = x / 1000 multiply both sides by 1000
1 *1000 / 80 = x
12.5 = x