Final answer:
Betty used a scale factor of 7/36 for her scale drawing of the park, which simplifies the ratio of the drawing unit (7 inches) to the actual unit (1 yard or 36 inches).
Step-by-step explanation:
The student's question involves understanding the scale factor used in a scale drawing. Betty used a scale of 7 inches to 1 yard for her drawing of a neighborhood park. To find the scale factor, we need to first express both measurements in the same units. There are 36 inches in a yard (3 feet per yard and 12 inches per foot), so the scale in the same units is 7 inches to 36 inches. The scale factor is then the ratio of the drawing unit to the actual unit, which simplifies to 7/36.
The scale factor that Betty used for her drawing is 7/36, when writing it as a fraction.