Answer:
The population of bacteria can be expressed as a function of number of days.
Population = [tex]\[5*2^{n-1}\][/tex] where n is the number of days since the beginning.
Step-by-step explanation:
Number of bacteria on the first day=[tex]\[5 * 2^{0} = 5\][/tex]
Number of bacteria on the second day = [tex]\[5 * 2^{1} = 10\][/tex]
Number of bacteria on the third day = [tex]\[5*2^{2} = 20\][/tex]
Number of bacteria on the fourth day = [tex]\[5*2^{3} = 40\][/tex]
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 [tex]\[5*2^{n-1}\][/tex] where n is the number of days since the beginning.