Slope of (-5,12), ( -9, 16)
1 answer:
You might be interested in
Answer:
22.4 hours
Step-by-step explanation:
The population of bacteria is modelled by the equation:
From the the question, the initial population of bacteria is 720.
So after 26 hours, we have:
This implies that:
We want to find how long it will take for there to be 1310 bacteria present.
To the nearest tenth , it will take 22.4 hours
The general equation for exponential growth can be written as:
where r is the growth rate.
Plugging in the given values, we get:
Therefore
giving
![1+r= \sqrt[3]{1.1} =1.0323](https://tex.z-dn.net/?f=1%2Br%3D%20%5Csqrt%5B3%5D%7B1.1%7D%20%3D1.0323)
The predicted number of bacteria after 17 hours is given by:
where r is the growth rate.
Plugging in the given values, we get:
Therefore
giving
The predicted number of bacteria after 17 hours is given by: