Question
On a map drawn to scale, 2 cm represents 870 km. How long would a line segment be that represents 130 kilometers?
Answers
GPT-4o mini
To find out how long a line segment would be on the map to represent 130 kilometers, we can use the scale provided. The scale is given as 2 cm representing 870 km.
First, let's find out how many kilometers are represented by 1 cm on the map. We can divide the total kilometers by the corresponding centimeters:
\[
\text{Kilometers per cm} = \frac{870 \text{ km}}{2 \text{ cm}} = 435 \text{ km/cm}
\]
Now we need to determine how many centimeters would represent 130 kilometers. We can set up the equation:
\[
\text{Length in cm} = \frac{130 \text{ km}}{435 \text{ km/cm}}
\]
Calculating this gives:
\[
\text{Length in cm} = \frac{130}{435} \approx 0.29885 \text{ cm}
\]
Therefore, the length of the line segment that represents 130 kilometers on the map is approximately **0.3 cm** (when rounded to one decimal place).
First, let's find out how many kilometers are represented by 1 cm on the map. We can divide the total kilometers by the corresponding centimeters:
\[
\text{Kilometers per cm} = \frac{870 \text{ km}}{2 \text{ cm}} = 435 \text{ km/cm}
\]
Now we need to determine how many centimeters would represent 130 kilometers. We can set up the equation:
\[
\text{Length in cm} = \frac{130 \text{ km}}{435 \text{ km/cm}}
\]
Calculating this gives:
\[
\text{Length in cm} = \frac{130}{435} \approx 0.29885 \text{ cm}
\]
Therefore, the length of the line segment that represents 130 kilometers on the map is approximately **0.3 cm** (when rounded to one decimal place).