Final answer:
Sarah's scale drawing of a dinosaur with a height of 2.5 inches compared to the actual height of 9 feet uses a scale of 1 inch to 3.6 feet, which is option D.
Step-by-step explanation:
Sarah made a scale drawing of a dinosaur and used a scale to represent the actual size of the dinosaur in a smaller form. The height of the dinosaur in her drawing is 2.5 inches, and the actual height is 9 feet. To find the scale Sarah used, we need to convert feet to inches, since the height in the drawing is given in inches. There are 12 inches in a foot, so the actual height of the dinosaur in inches is 9 feet × 12 inches/foot = 108 inches. Now, we divide the actual height by the drawing height to find the scale factor:
Scale factor = Actual height / Drawing height = 108 inches / 2.5 inches = 43.2
Therefore, Sarah's drawing scale is 1 inch to 43.2 inches. Since we want the scale in terms of feet, we divide 43.2 inches by 12 inches/foot to get the scale in feet:
Scale = 43.2 inches ÷ 12 inches/foot = 3.6 feet per inch
So the correct answer is D. 1 in=3.6ft.