Final answer:
By applying the concept of exponential growth, a total of 30 days pass before 192 bags of starter bread dough are produced. Each friend begins with four bags, and every 10 days the amount of bags each friend has multiplies by four.
Step-by-step explanation:
The question pertains to the concept of exponential growth, specifically in a baking context. Let's break it down step by step.
Three friends each initially create four bags of starter bread dough, totaling 12 bags (3 friends * 4 bags). After 10 days, each of these bags is then divided into four more bags, resulting in 48 bags (12 original bags * 4 new bags). This replication process repeats every 10 days.
To find how many days have passed before 192 bags of dough are created, we need to determine the number of replication cycles required to reach this total. After the first cycle, there are 48 bags. After a second cycle, there would be 192 bags (48 bags * 4), indicating that two additional cycles are required after the initial batch.
Since each cycle lasts 10 days, this implies 20 days have passed (2 cycles * 10 days) in addition to the original 10 days for creating the first set of bags. Therefore, a total of 30 days elapse before 192 bags of dough are produced.
Learn more about Exponential Growth