Final answer:
The time it would take for the bottle to go from 1/4 full to 1/2 full would be the same as the time it took to go from being empty to 1/4 full. This depends on the specific rate of growth, which is not provided. Therefore, we can't definitively choose the correct time from the options 11:31 A.M., 11:35 A.M., 11:40 A.M., and 1:00 P.M.
Step-by-step explanation:
Exponential growth is a mathematical concept where the growth rate is proportional to the current quantity. In this case, if at 11:30 a.m. the bottle is 1/4 full, the time it takes to double its contents (to become 1/2 full) depends on its rate of growth. Without knowing the specific growth rate, we cannot definitively answer when the bottle will be 1/2 full. However, under the concept of exponential growth, it should take the same amount of time for the bottle to go from being 1/4 full to 1/2 full as it did to go from being empty to 1/4 full. Hence, without the specific growth rate, we can't choose the correct option among 11:31 A.M., 11:35 A.M., 11:40 A.M. or 1:00 P.M.
Learn more about Exponential Growth