Final answer:
To find the number of inches that represent a certain number of miles on a map, we can use the given scale and set up a proportion. Using the scale of 0.25 inches = 23 miles, we can find that 138 miles is approximately 1.725 inches.
Step-by-step explanation:
To find the number of inches that represent a certain number of miles on a map, we can use the given scale of 0.25 inches = 23 miles. The scale represents a ratio of 0.25 inches to 23 miles, so we can set up a proportion to solve the problem.
Let 'x' represent the number of inches that represent 138 miles. The proportion is:
0.25 inches / 23 miles = x inches / 138 miles
Cross-multiplying and solving for 'x', we have:
0.25 * 138 = 23 * x
x= 1.725 inches
Therefore, the number of inches that represent 138 miles is approximately 1.725 inches.