Answer: 1.67 hours.
Explanation:
1) Function that models the number of bacteria:
2) Bo = 25, then the function is:
3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:
i) start
ii) division property
iii) antilogarithm property
iv) division property
v) Due the operations:
t = 1.67 hours.
Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).