Answer:
The population of bacteria can be expressed as a function of number of days.
Population =
where n is the number of days since the beginning.
Explanation:
Number of bacteria on the first day=
![\[5 * 2^(0) = 5\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/b8ibmpdusjckovo91u8tuatgw1hprs0fw3.png)
Number of bacteria on the second day =
![\[5 * 2^(1) = 10\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/6qia8yqouz7ywoe3cwkfc3die6p6bpcd2h.png)
Number of bacteria on the third day =
![\[5*2^(2) = 20\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/3qhb4wppq994r8ar6wczb91rxfh5iyx7fu.png)
Number of bacteria on the fourth day =
![\[5*2^(3) = 40\]](https://img.qammunity.org/2021/formulas/mathematics/high-school/f61ai2xvauyls0x18klnhu1ybxn8whpv7j.png)
As we can see , the number of bacteria on any given day is a function of the number of days n.
This expression can be expressed generally as
where n is the number of days since the beginning.