A map has a scale of 1 cm : 16 km. If Marion and Kumba are 112 km apart, then they are how far apart on the map?

A. 10 cm
B. 7 cm
C. 1792 cm
D. 9 cm

To determine the distance between Marion and Kumba on the map, we use the given scale of 1 cm : 16 km. This means that 1 centimeter on the map represents 16 kilometers in reality.

We can set up a proportion to solve for the map distance:

\[
\frac{1 \text{ cm}}{16 \text{ km}} = \frac{x \text{ cm}}{112 \text{ km}}
\]

Cross-multiplying to solve for \( x \):

\[
1 \text{ cm} \times 112 \text{ km} = 16 \text{ km} \times x \text{ cm}
\]

\[
112 = 16x
\]

Now, divide both sides by 16 to isolate \( x \):

\[
x = \frac{112}{16}
\]

\[
x = 7
\]

Therefore, the distance between Marion and Kumba on the map is 7 cm.

The correct answer is B. 7 cm.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. If the scale were 1 cm : 20 km, how far apart would Marion and Kumba be on the map?
2. If Marion and Kumba were 200 km apart in reality, what would be their distance on the map using the 1 cm : 16 km scale?
3. How would you convert the map distance back to the actual distance if given the scale?
4. What if the scale was 1 inch : 10 miles, and Marion and Kumba were 50 miles apart? How far apart would they be on the map?
5. How would the distance change on the map if the scale was changed to 1 cm : 8 km?
6. If a map uses a scale of 1:50,000, what does this represent in cm and km?
7. How do different map scales affect the representation of distances?
8. What tools can help with converting distances using map scales?

**Tip:** Always double-check your unit conversions to ensure accuracy in scale-related calculations.

Learn how to calculate distances on a map using scale. Solve the problem of determining the map distance between Marion and Kumba, given a scale of 1 cm : 16 km. Detailed step-by-step solution included.

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