Answer :
To solve the problem of determining how many inches represent 4,500 kilometers on a military map where the scale is 1 inch = 1,000 kilometers, we follow these steps:
1. Understand the scale: The scale given is 1 inch = 1,000 kilometers. This means that for every inch on the map, it represents 1,000 kilometers in real distance.
2. Identify the total distance in kilometers: We are given that the total distance we need to represent is 4,500 kilometers.
3. Calculate the number of inches:
To find out how many inches represent 4,500 kilometers, we divide the total number of kilometers by the number of kilometers per inch.
[tex]\[ \text{Number of inches} = \frac{\text{Total kilometers}}{\text{Kilometers per inch}} \][/tex]
Substituting the given values:
[tex]\[ \text{Number of inches} = \frac{4500 \text{ kilometers}}{1000 \text{ kilometers per inch}} \][/tex]
4. Perform the division:
[tex]\[ \text{Number of inches} = \frac{4500}{1000} = 4.5 \][/tex]
Therefore, 4,500 kilometers is represented by 4.5 inches on the map.
So, the correct answer is:
(A) 4.5
1. Understand the scale: The scale given is 1 inch = 1,000 kilometers. This means that for every inch on the map, it represents 1,000 kilometers in real distance.
2. Identify the total distance in kilometers: We are given that the total distance we need to represent is 4,500 kilometers.
3. Calculate the number of inches:
To find out how many inches represent 4,500 kilometers, we divide the total number of kilometers by the number of kilometers per inch.
[tex]\[ \text{Number of inches} = \frac{\text{Total kilometers}}{\text{Kilometers per inch}} \][/tex]
Substituting the given values:
[tex]\[ \text{Number of inches} = \frac{4500 \text{ kilometers}}{1000 \text{ kilometers per inch}} \][/tex]
4. Perform the division:
[tex]\[ \text{Number of inches} = \frac{4500}{1000} = 4.5 \][/tex]
Therefore, 4,500 kilometers is represented by 4.5 inches on the map.
So, the correct answer is:
(A) 4.5
