Answer:
- <em>After 1 minute, the population in a colony at 20ºC will be greater than the population in a colony at 30ºC.</em>
Explanation:
The specific question is added on the comments section: <em>After 1 minute, will the population be greater in a colony at 20ºC or 30ºC? Explain</em>
<h2><em>Solution</em></h2>
<u><em>How will the colonies compare in size? </em></u>
To answer this you can either evaluate each polynomial at the corresponding time and then compare or you can subtract the polynomials and then evaluate the resulting polynomial.
I choose the second opion:
20ºC 30ºC
↓ ↓
- <em> t² + 4t + 4 - (t² + 3t + 4 ) = t² - t² + 4t - 3t + 4 - 4 = t</em>
The difference is t (remember that this is number of bacteria).
Evaluate when the time is 1 minute.
In the polynomials, t is in seconds. Then, convert 1 minute to seconds:
Then, t = 60 bacteria is the difference.
Thus, the colony has 60 more bacteria when the temperature is 20ºC than when the temperature is 30ºC.
In fact, since t is always greater than 0, the colony at 20ºC will always have more bacteria than the colony at 30ºC.