Final answer:
To serve 150 people, assuming each person gets one roll and 2 dozen rolls serve 24 people, you would need to make 13 dozen rolls. The correct conversion factor is 1 dozen = 12 rolls, because a dozen is defined as a set of 12.
Step-by-step explanation:
To calculate the number of dozens of cinnamon rolls needed for 150 people, you would first determine how many rolls each person gets if you stick to the original recipe yield. Since the recipe makes 2 dozen rolls, which is 24 rolls, and that is meant for a smaller group, you'd divide 150 people by the number of people the 2 dozen rolls would typically serve to find the conversion factor. Unfortunately, without knowing how many people 2 dozen serves in the original recipe, we cannot determine the exact conversion factor. However, if we assume that 2 dozen rolls serve 24 people (1 roll per person), we would then calculate the number of dozens needed for 150 people.
To find this, divide 150 people by 24 people (since 2 dozen is for 24 people) to get 6.25, which means you need 6.25 times the original number of dozens. Then multiply this by 2 dozen to find out how many dozens of rolls you should make. 6.25 × 2 dozen equals 12.5 dozen, which means you need to make 12.5 dozen rolls to serve 150 people.
Since we can't make half a dozen rolls realistically, we would round up to the next whole number. Therefore, you would need to make 13 dozen rolls. The correct conversion factor is 1 dozen = 12 rolls because a dozen is always defined as a set of 12.