The document provides models for the amounts spent on natural gas (N) and electricity (E) in the United States from 1989 to 1993. It asks students to: 1) Find a model for the total amount (A) spent on natural gas and electricity during that period by adding the two models together. 2) According to the combined model, calculate how much will be spent on natural gas and electricity in 2020.

1. Aim: Adding Polynomials
Do Now
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2. Anticipatory Set
Modeling: equations that represent
relationships between quantities in real life
From 1989 through 1993, the amounts (in billions of dollars) spent on
natural gas N and electricity E by United States residents can be
modeled by the follwoing equations, where t is the number of years
since 1989.
N = 1.488t2 - 3.403t + 65.59
E = -0.107t2 + 6.897t + 169.735
1.) Find a model for the total amount A (in billions of
dollars) spent on natural gas and electricity by the United
States from 1989 through 1993.
2.) According to the model, how much will be spent in 2020 on
natural gas and electricity?
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3. 1
A
B
C
3

4. 2
A
B
C
4

5. 3
A
B
C
5

6. 4
A
B
C
6

7. 5
A
B
C
7

8. 6
A
B
C
8

9. 7
A
B
C
9

10. 8
A
B
C
10

11. 9
A
B
C
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12. 10
A
B
C
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13. 11
A
B
C
13

14. 12
A
B
C
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15. Before You Leave
Find the perimeter of the following
rectangle. 2x + 4
x -82 x2 -8
2x + 4
2x2 + 2x + 4
x2 - 4x - 3 x2 - 4x - 3
2x2 + 2x + 4
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16. Homework
Homework Sheet
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