Final answer:
To find the distance from Dallas to Charleston on Hannah's map, we can set up a proportion using the given scale. The distance is approximately 0.1125 inches.
Step-by-step explanation:
To solve this problem, we can set up a proportion using the given scale. The scale is (1/4) inch to 10 miles, meaning that 1/4 inch represents 10 miles. Let's call the distance from Dallas to Charleston on the map as d. We can set up the proportion as (1/4) inch / 10 miles = d inches / 4.5 miles. We can solve this proportion by cross-multiplying:
(1/4) inch * 4.5 miles = 10 miles * d inches
d = (1/4) inch * 4.5 miles / 10 miles = 0.1125 inches. Therefore, the distance from Dallas to Charleston on Hannah's map is 0.1125 inches.
Answer: The distance from Dallas to Charleston on Hannah's map is 0.1125 inches.