Question
An architect built a scale model of a baseball stadium using a scale in which 2 inches represents 10 feet. The height of the baseball stadium is 120 feet.
What is the height of the scale model in inches?
Responses
A 6 in.6 in.
B 12 in.12 in.
C 100 in.100 in.
D 24 in.
What is the height of the scale model in inches?
Responses
A 6 in.6 in.
B 12 in.12 in.
C 100 in.100 in.
D 24 in.
Answers
GPT-4o mini
To find the height of the scale model in inches, we will use the given scale of 2 inches representing 10 feet.
First, we convert the actual height of the baseball stadium (120 feet) into inches using the scale:
1. Determine how many 10-foot increments are in 120 feet:
\[
\frac{120 \text{ feet}}{10 \text{ feet}} = 12
\]
2. Each 10-foot increment is represented by 2 inches in the model, so:
\[
12 \times 2 \text{ inches} = 24 \text{ inches}
\]
Therefore, the height of the scale model is **24 inches**.
The correct answer is **D: 24 in.**
First, we convert the actual height of the baseball stadium (120 feet) into inches using the scale:
1. Determine how many 10-foot increments are in 120 feet:
\[
\frac{120 \text{ feet}}{10 \text{ feet}} = 12
\]
2. Each 10-foot increment is represented by 2 inches in the model, so:
\[
12 \times 2 \text{ inches} = 24 \text{ inches}
\]
Therefore, the height of the scale model is **24 inches**.
The correct answer is **D: 24 in.**