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.
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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.
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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.
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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.
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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.
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