Final answer:
Brandon used a scale of 1:4 for his scale drawing of the auditorium, meaning every 1 inch on the drawing represents 4 feet in real life.
Step-by-step explanation:
Brandon used a scale factor for his scale drawing of the auditorium. The stage, which is 48 feet long in real life, is represented as 12 inches long in the drawing. The scale factor is determined by the ratio of the drawing length to the actual length. Since there are 12 inches in 1 foot, we can convert the actual length of the stage from feet to inches before calculating the scale. Therefore, 48 feet is equal to 48 feet × 12 inches/foot = 576 inches. Now, we compare this to the drawing:
Scale = Drawing length / Actual length
Scale = 12 inches / 576 inches
Scale = 1 / 48
Since the question offers options in the form of a ratio like 1:x, we can multiply both sides of the scale by 48 to find the simplest form of the ratio for the options provided:
Scale = (1 × 48) / (48 × 48)
Scale = 1 / 4
Therefore, the correct scale that Brandon used is 1:4, which corresponds to option B.