The hourly growth rate of bacteria is 191.25
Solution:
Given that, initially Shelly put 85 bacteria and waits 4 hours
Amount of bacteria after 4 hours = 850
Now, number of bacteria increased = 850 bacteria – initial 85 bacteria
Number of increased bacteria = 850 – 85 = 765 bacteria.
So, 765 bacteria were produced in 4 hours.
So hourly growth rate( per hour) can be found out by as follows:
[tex]\text { Hourly growth rate }=\frac{\text { number of bacteria increased }}{\text { number of hours }}[/tex]
[tex]\text { Hourly growth rate }=\frac{765}{4}=191.25[/tex]
Hence, the hourly growth rate of bacteria is 191.25
Answer:
The hourly growth rate is 0.58 (this is the rounded answer)
Step-by-step explanation:
FORMULA: A = Pe^rt
Shelly is a biologist who wants to determine the growth rate of a strain of bacteria. Shelly puts 85 bacteria into a controlled environment and waits 4 hours. When Shelly checks 4 hours later, there are 850 bacteria. What is the hourly growth rate of the bacteria? Let A be the amount of bacteria at the end of the study and P be the amount of bacteria at the beginning of the study. Let r be the growth rate and t be the time it took for the bacteria to grow.
This being said,
850 = 85e^4r
r=0.58
