Final answer:
Anna used a scale factor of 1/48 for her scale drawing of the game room, meaning one inch on the drawing represents 48 inches, or 4 feet, in real life.
Step-by-step explanation:
Anna used a scale for her drawing where 2 inches represent 8 feet in real life. To find the scale factor that Anna used, we can set up a ratio that compares the drawing length to the real-life length. We do this by dividing the length on the drawing by the corresponding length in real life:
Scale factor = length on drawing / real-life length
Scale factor = 2 inches / 8 feet
To convert feet to inches (since there are 12 inches in a foot), we multiply the real-life length by 12:
Scale factor = 2 inches / (8 feet × 12 inches/foot)
Scale factor = 2 inches / 96 inches
Scale factor = 1/48
Therefore, the scale factor that Anna used for her scale drawing of the pool table is 1/48. This means that one inch in the drawing represents 48 inches, or 4 feet, in real life.