Question
arter is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ΒΌ inch = 9 miles.
City X
City Y
2 in.
What is the actual distance between the two cities?
Answer
City X
City Y
2 in.
What is the actual distance between the two cities?
Answer
Answers
GPT-4o mini
To calculate the actual distance between City X and City Y based on the scale provided, we first need to determine how many inches are represented in the scale.
The scale is \( \frac{1}{4} \) inch = 9 miles.
Since the distance between the two cities as represented in the drawing is 2 inches, we can determine how many \( \frac{1}{4} \) inch segments there are in 2 inches:
\[
\frac{2 \text{ inches}}{\frac{1}{4} \text{ inch}} = 2 \times 4 = 8
\]
This means that there are 8 segments of \( \frac{1}{4} \) inch in 2 inches.
Now, since each \( \frac{1}{4} \) inch corresponds to 9 miles, we can multiply the number of segments by the miles for each segment:
\[
8 \times 9 \text{ miles} = 72 \text{ miles}
\]
Thus, the actual distance between City X and City Y is **72 miles**.
The scale is \( \frac{1}{4} \) inch = 9 miles.
Since the distance between the two cities as represented in the drawing is 2 inches, we can determine how many \( \frac{1}{4} \) inch segments there are in 2 inches:
\[
\frac{2 \text{ inches}}{\frac{1}{4} \text{ inch}} = 2 \times 4 = 8
\]
This means that there are 8 segments of \( \frac{1}{4} \) inch in 2 inches.
Now, since each \( \frac{1}{4} \) inch corresponds to 9 miles, we can multiply the number of segments by the miles for each segment:
\[
8 \times 9 \text{ miles} = 72 \text{ miles}
\]
Thus, the actual distance between City X and City Y is **72 miles**.