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
Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:
Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:
The vertical shift is 11 units down, which means:
For period:
Final answer:
Hence, the cosine function is shown below;