Question

On your map of upstate New York with a scale of ¼ inch = 5 miles, if Buffalo and Albany are 13 inches apart, how far apart are the cities?

a) 65 miles
b) 325 miles
c) 195 miles
d) 845 miles

Answer 1

Using the map scale of 1/4 inch equals 5 miles and the map distance of 13 inches between Buffalo and Albany, the actual distance is 260 miles. The correct answer is not listed in the provided options.

Step-by-step explanation:

The student's question involves finding out the actual distance between Buffalo and Albany on a map with a given scale. The scale is 1/4 inch equals 5 miles. If Buffalo and Albany are 13 inches apart on the map, we calculate the actual distance by setting up a proportion where we multiply the number of map inches by the number of miles each inch represents to find the real-world distance.

Here is the step-by-step solution to find the actual distance between the cities:

1. Identify the scale of the map: 1/4 inch = 5 miles.
2. Find the total map distance between the two cities: 13 inches.
3. Calculate the number of 1/4 inch segments in 13 inches: 13 inches × (4 segments/inch) = 52 segments.
4. Finally, calculate the actual distance by multiplying the number of segments by the miles each segment represents: 52 segments × 5 miles/segment = 260 miles.

Therefore, the actual distance between Buffalo and Albany is 260 miles, which means the correct answer is not listed among the provided options (a, b, c, or d).