Question

Dr. Jimenez found that after applying an antibiotic to bacteria, he observed only 90% of the bacteria left in the culture dish each hour. If the initial bacteria count was 100, what was the bacteria count after 5 hours? Round to the nearest whole number.

Answer 1

For this case we have a function of the form:

`image`

Where,

A: initial amount of bacteria:

b: decrease rate

x: time in hours

Substituting values we have:

`image`

After 5 hours we have:

`image`

Rounding to the nearest whole number:

`image`

Answer:

the bacterium count after 5 hours was:

`y = 59`