Given that Sienna planned a rectangular pool drawn on a scale 11 inches long by 7 inches wide, and Sienna used the scale drawing above to create a pool that is 14 ft wide x 22 ft long, and she then decided to make a pool with a final length of 33 ft, to determine which expression finds the change in scale factor for the longer pool Sierra is building the following calculation must be performed:
- 11 inches = 0.916 feet
- 11 / 0.916 = 12
- 7 inches = 0.583333 feet
- 7 / 0.5833333 = 12
- Thus, the initial scale is 1:12.
- 33 / 0.916 = 36
Therefore, the scale factor went from 1:12 to 1:36.
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