The document discusses population projections for Germany using different mathematical models: 1) A linear equation is used to project a population of 91,087,752 people in the year 2000 based on population data from 1850 to 1950. 2) A quadratic equation fits the data better and projects a population of 594,533,449.606 people in 2000. 3) A logarithmic equation provides an even better fit to the data and projects a population of 2,980,083 people in 2000. Each model provides a different prediction because different equations model population growth in different ways.

1. Population Project Germany
By Brittany Beck

2. Linear Equation
Find two points then plug
it into the equations.
The equation is
When you find the answer
to the first equation plug it
into m in the second
equation.

3. Graph
Straight Line
Chart 1
90000000
67500000
I put zero down as
the first year when it 45000000
is actually 1850. Year
22500000
0
0 50 100 150 200
Prediction-91,087,752

4. Work
Equation

5. Quadratic Equation
You have to
find A,B and C.
The Equation is f(x)=Ax
2
+Bx+C
You plug in your points.
Then you solve for A B and C

6. Chart
Curve line Chart 2
90000000
67500000
45000000
Year
22500000
Predictio
n--594,5
33,44
9.606
0
0 50 100 150 200

7. Work

8. Logarithmic
Equation x
y=ab
You get two points and plug it
into the equation.
Then you put the two
equations together and solve.

9. Graph
Chart 3
90000000
67500000
]
45000000
22500000
0 Year
0 50 100 150 200
Prediction-2,980,0
83

10. Work
b=1.06837
a=.004

11. Explanation
Because you are using different
equations. Each equation will predict
differently from the other ones.