1. Modeling and Equation Solving
1.1 Day 2
Modeling and Equation Solving

2. The Zero Factor Property
A product of real numbers is zero if and only if at least one of the factors in the product is zero.
If a·b = 0, then a = 0 or b = 0.

3. Solve by Factoring.
x2 – 5x + 6 = 0 (x – 3)(x – 2) = 0 x = 3 or x = 2 6x3 – 11x2 – 10x = 0 x(6x2 – 11x – 10) = 0 x(2x – 5)(3x + 2) = 0 x = 0 or x = 5/2 or x = -2/3

4. Quadratic Formula

5. Fundamental Connection

6. Solve Algebraically.
Check your answer either algebraically or graphically.

7. Solve Graphically.

8. Application
The engineers at an auto manufacturer pay students $0.08 per mile plus $25 to road test their new vehicles.
Let p = pay and m = number of miles driven
Model the problem with an equation.
p = m
How much did the auto manufacturer pay Sally to drive 440 miles in one day?
John earned $93 test-driving a new car in one day. How far did he drive?

9. Comparing Pizzas

10. Homework
Page 83 #20-22, 25-28, 29-43odd, 47