Can I get one last help please? I truly don't understand it. Thanks!
- Use the model from problem 12 to estimate the population of bacteria at 9 hours.
Type your answer below. Show your work.
The picture is how I solved #12
- Use the model from problem 12 to estimate the population of bacteria at 9 hours.
Type your answer below. Show your work.
The picture is how I solved #12
1 Answer
13.83
Explanation:
So, the constant rate of change indicated by the diferences of the diferences tells us the generic equation here is a quadratic one. Quadratic equations have the generic formula:
The first thing we do is look at the point where x is equal to 0
Now, in order to find a and b we need to pick two points from the list and substitute them into the generic equation to get two linear equations. Lets choose
1)
2)
In order to solve a system like this we multiply or divide one of the equations by a set number so that one of the terms equals the same term in the other equation. Lets multiply the first equation by -6:
Now we add both equations
Stick that value into one of the equations:
So, our full equation is:
Now, in order to find the population at 9 hours, we just plug 9 for the value of x and find: