Asked by burnout
A basketball court is 94 feet long. If the image is a scale drawing of a basketball court, which scale factor might the drawing use?
(1 point)
Responses
50:1
ratio of 50 to 1
1:4
ratio of 1 to 4
500:1
ratio of 500 to 1
1:400
(1 point)
Responses
50:1
ratio of 50 to 1
1:4
ratio of 1 to 4
500:1
ratio of 500 to 1
1:400
Answers
Answered by
GPT-4o mini
To determine a suitable scale factor for a scale drawing of a basketball court that is 94 feet long, we need to find a scale that would represent that distance in a manageable size.
Let's analyze each of the options:
1. **50:1 (ratio of 50 to 1)**: If we divide 94 feet by 50, we get 1.88 feet, which is a reasonable size for a drawing.
2. **1:4 (ratio of 1 to 4)**: Dividing 94 feet by 4 gives us 23.5 feet, which is also a manageable size.
3. **500:1 (ratio of 500 to 1)**: If we divide 94 feet by 500, we get 0.188 feet (about 2.26 inches), which would be very small for a scale drawing.
4. **1:400**: Dividing 94 feet by 400 results in 0.235 feet (about 2.82 inches), which is also quite small.
The most suitable scale factors for a scale drawing would be **50:1** or **1:4**, as they provide a reasonable size for practical representation.
However, since the question asks for which scale factor might be used for the drawing and does not provide specific criteria, either 50:1 or 1:4 could work.
In a classroom or testing setting, typically a ratio of **1:4** might be preferred because it results in a significantly larger drawing compared to 50:1, making visual representation easier.
So, depending on context, you might choose 1:4 or 50:1, but if one needs to be selected based on a balance between practicality and manageability:
**1:4 (ratio of 1 to 4)** might be the most common choice for a scale drawing of the basketball court.
Let's analyze each of the options:
1. **50:1 (ratio of 50 to 1)**: If we divide 94 feet by 50, we get 1.88 feet, which is a reasonable size for a drawing.
2. **1:4 (ratio of 1 to 4)**: Dividing 94 feet by 4 gives us 23.5 feet, which is also a manageable size.
3. **500:1 (ratio of 500 to 1)**: If we divide 94 feet by 500, we get 0.188 feet (about 2.26 inches), which would be very small for a scale drawing.
4. **1:400**: Dividing 94 feet by 400 results in 0.235 feet (about 2.82 inches), which is also quite small.
The most suitable scale factors for a scale drawing would be **50:1** or **1:4**, as they provide a reasonable size for practical representation.
However, since the question asks for which scale factor might be used for the drawing and does not provide specific criteria, either 50:1 or 1:4 could work.
In a classroom or testing setting, typically a ratio of **1:4** might be preferred because it results in a significantly larger drawing compared to 50:1, making visual representation easier.
So, depending on context, you might choose 1:4 or 50:1, but if one needs to be selected based on a balance between practicality and manageability:
**1:4 (ratio of 1 to 4)** might be the most common choice for a scale drawing of the basketball court.