Final answer:
To find how many centimeters represent 200 km on a blueprint when 2 cm represents 25 km, set up a proportion and solve for the missing value. It is calculated that 16 cm on the blueprint would represent 200 km.
Step-by-step explanation:
To determine how many centimeters on the blueprint will represent 200 km, you'll first need to understand the given scale. The blueprint scale is 2 cm for 25 km. So the scale factor can be written as a ratio:
2 cm / 25 km
Now, set up the proportion to find out the number of centimeters for 200 km:
(2 cm / 25 km) = (x cm / 200 km)
Cross multiply to solve for x (the number of centimeters on the blueprint to represent 200 km):
25 km * x cm = 2 cm * 200 km
x = (2 cm * 200 km) / 25 km
x = 400 cm / 25
x = 16 cm
Therefore, 16 cm on the blueprint will represent a distance of 200 km.