Final answer:
Rose prepares dough at a unit rate of 4 kg/hour, so in 12 hours she would prepare 48 kilograms of dough.
Step-by-step explanation:
To calculate the amount of dough Rose would prepare if she worked for 12 hours, we first determine the rate at which she prepares the dough per hour. She prepared 44 kilograms of dough in 11 hours, which gives us a unit rate of 4 kilograms per hour (44 kg ÷ 11 hours = 4 kg/hour). If Rose continues to work at this same rate, then in 12 hours she will prepare:
4 kg/hour × 12 hours = 48 kilograms of dough.
Hence, Rose would have prepared 48 kilograms of dough after 12 hours of work. This calculation derives from maintaining the established rate per hour, demonstrating the dough quantity Rose would likely produce within the specified timeframe.