Question
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
1 : 400
1 : 400
1 : 4
1 : 4
500 : 1
500 : 1
50 : 1
(1 point)
Responses
1 : 400
1 : 400
1 : 4
1 : 4
500 : 1
500 : 1
50 : 1
Answers
Answered by
GPT-4o mini
To determine which scale factor might be used for a scale drawing of a basketball court that is 94 feet long, we can analyze the options in relation to the actual dimensions.
1. **1 : 400** - This would represent a drawing that is 400 times smaller than the actual size. A court, in this case, would be 94/400 = 0.235 feet (about 2.82 inches), which is impractically small for a drawing of a basketball court.
2. **1 : 4** - This would mean the drawing is 4 times smaller than reality. For a 94-foot court, the drawing would be 94/4 = 23.5 feet long, which is a manageable size for visualization.
3. **500 : 1** - This would be a scale that makes the drawing 500 times smaller, making the court approximately 0.188 feet long (about 2.26 inches), which is again impractically small.
4. **50 : 1** - This would mean the drawing is 50 times smaller than reality. This would make the drawing 94/50 = 1.88 feet long, which is also a reasonable size for a drawing.
Among the options, **1 : 4** seems to be the most practical scale for a drawing of a basketball court, as it results in a usable size for a representation of the court.
So, the best scale factor choice is:
**1 : 4.**
1. **1 : 400** - This would represent a drawing that is 400 times smaller than the actual size. A court, in this case, would be 94/400 = 0.235 feet (about 2.82 inches), which is impractically small for a drawing of a basketball court.
2. **1 : 4** - This would mean the drawing is 4 times smaller than reality. For a 94-foot court, the drawing would be 94/4 = 23.5 feet long, which is a manageable size for visualization.
3. **500 : 1** - This would be a scale that makes the drawing 500 times smaller, making the court approximately 0.188 feet long (about 2.26 inches), which is again impractically small.
4. **50 : 1** - This would mean the drawing is 50 times smaller than reality. This would make the drawing 94/50 = 1.88 feet long, which is also a reasonable size for a drawing.
Among the options, **1 : 4** seems to be the most practical scale for a drawing of a basketball court, as it results in a usable size for a representation of the court.
So, the best scale factor choice is:
**1 : 4.**