Question

Aaron compared the counts of two species of bacteria after being treated with an antibiotic. The results are shown in the table below.

Which statement best describes this situation?

The counts of both species are changing exponentially.

Only the count of bacteria 2 is changing exponentially.

The count of neither of the species is changing exponentially.

Only the count of bacteria 1 is changing exponentially.

Answer 1

Only the count of bacteria 2 is changing exponentially.

Explanation:

100% right for Plato.

Answer 2

Bacteria 1 Count:
5,000/6,000=0.83
4,500/5,000=0.90
4,000/4,500=0.89
3,200/4,000=0.80
The proportion in the count varies (0.83, 0.90, 0.89, 0.80), then the count in the bacteria 1 is not changing exponentially

Bacteria 2 Count:
6,000/8,000=0.75
4,500/6,000=0.75
3,375/4,500=0.75
2,531/3,375=0.75
The proportion in the count is constant (0.75), then the count in the bacteria 2 is changing exponentially

Answer: Second Option: Only the count of bacteria 2 is changing exponentially.