Bacteria can multiply at alarming rate when each bacteria splits into two new cells , thus doubling. If we start with only one bacteria which can double every hour , how many bacteria will have by the end of one day?
2^24 - 1
What is the answer and how did you solved this?
To find out how many bacteria there will be by the end of one day, we need to calculate the number of doublings that will occur in that time period.
Since each bacteria doubles in number every hour, after one hour there will be 2 bacteria. After two hours, there will be 4 bacteria, and after three hours, there will be 8 bacteria. This doubling pattern continues.
So, after 24 hours (one day), the number of bacteria will be calculated by 2 raised to the power of 24 (as each hour represents a doubling).
Mathematically, this can be represented as:
Number of bacteria after 24 hours = 2^24
Calculating 2 raised to the power of 24, we get:
Number of bacteria after 24 hours = 16,777,216
Therefore, by the end of one day, there will be approximately 16,777,216 bacteria.