Question

A professor is examining a new strain of bacteria. The amount of bacteria can be modeled by function s(n) = 20 · bn, where n is the number of hours and b is an unknown positive base.

Based on the model, there were initially
bacteria.

If b = 1.85, the hourly percent growth rate of the bacteria would be

Answer 1

Explanation:

Answer 2

For this case we have a function of the form:

`y = A * (b) ^ n`
Where,
A: initial amount
b: growth rate (if b> 1)
n: time in hours
Substituting values we have:

`s (n) = 20 * b ^ n`
We have then that the initial amount is:

`A = 20`
If b = 1.85 then the growth percentage is:

`(1.85-1) * (100) = 85%`
Answer:
here were initially 20 bacteria.
The hourly percent growth rate of the bacteria would be 85%