Final answer:
The scale factor for Abigail's scale drawing of a city using the scale of 10 inches to 2 yards (which translates to 72 inches), when simplified, is 5/36.
Step-by-step explanation:
Abigail made a scale drawing of a city with a scale of 10 inches to 2 yards. To find the drawing's scale factor, first, we need to express both measurements in the same units. Since there are 36 inches in a yard, 2 yards are equivalent to 72 inches. Therefore, the scale is 10 inches for every 72 inches of actual distance.
The scale factor is found by dividing the drawing unit by the actual size unit:
Scale Factor = Drawing Measurement / Actual Measurement
Scale Factor = 10 inches / 72 inches
Scale Factor = 5/36 (After simplifying the fraction)
This means that every 5 units on the drawing represent 36 units in the actual city.