FTCE General Knowledge Math Practice Test

What is the value of x if 20 miles corresponds to 0.5 inches on a map, and the distance is 10.5 inches?

1. 420 miles

2. 30 miles

3. 120 miles

4. 250 miles

The correct answer is: 420 miles

To determine the value of x, we first need to understand the relationship between the distances on the map and the actual distances they represent. The information given states that 20 miles is equivalent to 0.5 inches on the map. We can establish a ratio to find out how many miles correspond to 1 inch on the map. If 20 miles corresponds to 0.5 inches, then we can set up the proportion: 1 inch corresponds to \( 20 \text{ miles} \div 0.5 \). Calculating this gives us: \[ 20 \div 0.5 = 40 \text{ miles per inch} \] Next, we need to find the actual distance represented by 10.5 inches on the map. We can multiply the number of inches by the number of miles per inch: \[ 10.5 \text{ inches} \times 40 \text{ miles per inch} = 420 \text{ miles} \] Thus, the value of x, which represents the actual distance for 10.5 inches on the map, is 420 miles. This shows the importance of understanding the scale represented in a map and how to convert measurements accurately based on that