The document appears to be a student's final project for an algebra 2 class. It includes sections on linear, quadratic, and exponential prediction models. For the linear model, the student predicts the population in 2061 using data from 1860. For the quadratic model, the student predicts a value using a 3-point quadratic equation. For the exponential model, the student predicts the population in 2016 using 2 data points to define the exponential function.

1. Final Project
Christina Kieffer
Period 1
Algebra 2
Thursday, June 2, 2011

2. Linear...
Thursday, June 2, 2011

3. Prediction with a line
When writing an equation given two points, you first
have to plug your points into the slope formula.
( )
After you get those numbers you have to plug them
into the point slope formula
( )
Now you have the form of y=mx+b, plug in your
prediction for x and solve.
Thursday, June 2, 2011

4. Linear Graph
My first year was 1860
and I predicted what the
population was going to be
in 2061. 2061 is 201 years
away from 1860, I plugged in
201 for x and found my
population for the year 2061.
Thursday, June 2, 2011

5. Work/Equation/Prediction
Work on writing a linear equation
Linear Equation:Y=19569.67x+231193
Prediction: 4164696.67 people
Thursday, June 2, 2011

6. Quadratic...
Thursday, June 2, 2011

7. Prediction with a line
When writing an equation, you first have to find the
x and y values for the three points on your curve.
After you get the x and y values you have to plug
each of them into the formula,Y=ax^2+bx+c
When you get your two equations, use the
elimination method to solve for either a or b.
When you have the value for either a or b, plug it
into the original equation and solve for the missing
variable.
Thursday, June 2, 2011

8. Quadratic Graph
Thursday, June 2, 2011

9. Work/Equation/
Prediction
Quadratic Equation:Y=.
03453x^2+14.0438x+195
Prediction: 4217.85033
Thursday, June 2, 2011

10. Exponential...
Thursday, June 2, 2011

11. Prediction with a line
When writing an equation you have to plug your y
value in for y and your x value in for x in the
equation,Y=ab^x.
Then solve the equation for either variable (a or b).
Plug the value of the variable you solved for into the
original equation and solve for the missing variable.
Now that you have all the numbers for the missing
variables, solve the equation to find the prediction
for the year 2016.
Thursday, June 2, 2011

12. Work/Equation/Prediction
Prediction: 7,727,392.631300539
Exponential Equation: 2,000,000=ab^100 and
3,000,000=ab^130
Thursday, June 2, 2011