Question

difference in the number of colonies projected afunrestricted growth? ShoursRoom temperature growthf(t) = 20.52e^0.0195tProjected number of colonies after 5 hours:

Answer 1

`23\: colonies\: approximately`

1) Considering the function below:

`f(t)=20.52e^(0.0195t)`

This question is really about evaluating that function when t=5. So when we do that, we'll find the projected number of colonies.

2) So let's do it, considering that "e" is an irrational number and we're going to approximate the final answer:

`\begin{gathered} f(5)=20.52e^(0.0195(5)) \\ f(5)=20.52e^(1.1024) \\ f(5)=22.62\approx23 \end{gathered}`

Since colonies are given as whole numbers, we rounded it off to the nearest whole number.

3) Hence, the answer is approximately 23 colonies