To determine a suitable scale factor for a scale drawing of a basketball court that is 94 feet long, let's examine the given options:
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1:4 ratio of 1 to 4
This means that for every 1 foot in the drawing, it represents 4 feet in real life. Converting this, a basketball court would be depicted as 94 feet / 4 = 23.5 feet in the drawing, which seems quite small. -
50:1 ratio of 50 to 1
This means that 1 foot in the drawing represents 50 feet in real life. The drawing would therefore be 94 / 50 = 1.88 feet, which also appears too small to represent a basketball court properly. -
1:400 ratio of 1 to 400
Here, 1 foot in the drawing corresponds to 400 feet in real life. This means a basketball court would measure 94 / 400 = 0.235 feet in the drawing, which is much too small. -
500:1
This means that 1 foot in the drawing equals 500 feet in real life, resulting in a drawing of 94 / 500 = 0.188 feet, once again too small.
None of these options seem ideal for a scale drawing of a basketball court, as all yield drawings that are impractically small. However, the most reasonable answer among the given choices is 50:1, making the drawing measure 1.88 feet, which, while minimal, is still a discernible size compared to the other ratios resulting in smaller sizes.
Therefore, the best option is 50:1 ratio of 50 to 1.