Final answer:
To find the distance in miles represented by 2 and 1/2 inches on a map with a scale of 5 inches = 41 miles, set up a proportion and solve for the distance in miles, which is 20.5 miles.
Step-by-step explanation:
The question involves solving a problem using the concept of proportions based on a given map scale. To determine the distance in miles represented by 2 and 1/2 inches on the map of Connecticut with a scale of 5 inches = 41 miles, we can set up a proportion as follows:
5 inches / 41 miles = 2.5 inches / x miles
Solving for x gives us:
x = (2.5 inches × 41 miles) / 5 inches
x = 20.5 miles
Therefore, 2 and 1/2 inches on the map represents 20.5 miles in actual distance.