Final answer:
To calculate the actual distance between Los Angeles and San Francisco, multiply the number of 1/4 inch increments in 2 inches by 43 miles. There are 8 such increments in 2 inches, therefore the actual distance is 344 miles.
Step-by-step explanation:
To find the actual straight-line distance between Los Angeles and San Francisco based on the given map scale, you will need to apply your knowledge of proportions and the relationships between distances on a map and real-world distances. Given that 1/4 inch represents 43 miles and Brandon measured the distance to be 2 inches on the map, you would set up a proportion to solve for the actual distance:
- Understand that 1/4 inch = 43 miles.
- Since Brandon measured 2 inches on the map, you need to determine how many 1/4 inches are in 2 inches, which is 2 inches divided by 1/4 inch, giving us 8.
- Knowing there are 8 increments of 1/4 inches in 2 inches, multiply 8 by 43 miles to find the actual distance.
Therefore, the actual distance is 8 * 43 miles = 344 miles. The correct answer would be that the length between Los Angeles and San Francisco is 344 miles, which is not one of the provided options A) through D).