This document discusses predicting population growth using linear, quadratic, and exponential equations. It provides examples of finding the equations from data points and making predictions. For linear equations, it shows finding the slope and writing the equation in point-slope form. For quadratics, it explains using three points to find coefficients a, b, and c. The exponential equation section is less detailed. It concludes by explaining how the different equation types result in different predictions.

1. Population
Project
Japan
By: Mikaela Fringer

2. Linear Equation
y=mx+b is the Linear Equation
Just look at the straight line. Prediction:

3. Work for Linear
Equation

4. Quadratic Equation
In this part we got
3 points to find a,
b, and c. When
doing this you
have to use
elimination and
substitution.
Then at the end
you have to plug it
Just look at the Curve line. in to the original
equation to check
Prediction: your answer.

5. Work for Quadratic
Equation
a = 0.000105
b = 0.628858
c = 27

6. Exponential Equation

7. Work for Exponential
Equation

8. Explanation for
Project
Text

9. The End

10. Slide 3
Slide 3
• Your work on writing a linear equation
• your equation
• your prediction
Repeat for Quadratics and Exponential Curves
Slope: Y1-Y2 : 1,040,000-1,270,000
X1-X2 120-160
-230,000
Part 1
-40
Point Slope: Y-Y1= m(X-X1)
Y-1,040,000 = 5,750(X-120)
Y-1,040,000 = 5,750x-690,000
+1,040,000 +1,040,000
Y = 5,750x + 350,000
1,040,000 = 5,750(120) + 350,000
1,040,000 = 690,000 + 350,000

11. Slide 2
Slide 2
• Picture of graph
• explain year zero and years since

12. Last slide, Explain why each prediction is different
Slide 4
Text
Slide 2
• Picture of graph
• explain year zero and years since
Slide 1
• Introduction of making a prediction with a line
• explain how to write an equation given two points
Slide 3
• Your work on writing a linear equation
• your equation
• your prediction
Repeat for Quadratics and Exponential Curves