Final answer:
San Diego, CA and NYC will be 8 inches apart on a United States map with a scale of 1 inch = 400 miles, calculated by setting up a proportion and solving for the map distance.
Step-by-step explanation:
To calculate the distance on the map between San Diego, CA and NYC when given that the actual distance is 3,200 miles and the map scale is 1 inch = 400 miles, you would set up a proportion to find the number of inches that represent the 3,200 miles on the map.
Start with the given scale: 1 inch = 400 miles. Then set up the proportion to solve for the unknown distance x on the map that corresponds to the actual distance of 3,200 miles.
The proportion is:
1 inch / 400 miles = x inches / 3,200 miles
Now, solve for x by cross-multiplying:
400 miles * x inches = 1 inch * 3,200 miles
x = (1 inch * 3,200 miles) / 400 miles
x = 3,200 inches / 400
x = 8 inches
So, San Diego and NYC will be 8 inches apart on the map.