Final answer:
The ratio of the height of the model to the height of the Seattle Space Needle is 1:151, which is found by converting the actual height to inches and simplifying the ratio. So the correct option is C.
Step-by-step explanation:
To find the ratio of the height of the model of the Seattle Space Needle to the height of the actual Space Needle, we first need to make sure both heights are in the same units. Since the model is 48 inches tall and the actual Space Needle is 604 feet tall, we need to convert feet to inches because there are 12 inches in a foot.
604 feet × 12 inches/foot = 7248 inches
Now, you can set up the ratio of the model's height to the actual height:
48 inches: 7248 inches
When you simplify this ratio by dividing both numbers by 48, you get:
1: 151
Therefore, the correct answer is C. 1:151.