20-22 poi equations.notebook - isd 622 · 2013. 11. 19. · solve and check. 2 4 ... 13 shen23shen...
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2022 POI equations.notebook November 19, 2013
p.20
Define:Point of Intersection (P.O.I)
Where the (x, y) are the same for two different equations.
How do you find P.O.I. using the equations?
LT 2b: I can find the point of intersection (P.O.I.) between two equations using their equations.
y = 2x + 1 y = 2x + 9
1.2.3.4.5.6.
Example 1:
Find the POI:
y = 2x + 1y = 2x + 9
Find the POI:
y = 4x 12 y = 2(x 4x)
Simplifyif needed (distribute, like terms)Stopchopchop
add/sub smallest variable from both sides.use inverse operations to solve equation.
{
{
unit 4
Example 2:
2022 POI equations.notebook November 19, 2013
Find the POI:
Summary:
p.21
CW P
y = 25x + 200y = 50x + 50{
For 16, find the point of intersection.
1. 2.
y = 2(3 x)y = 3(4x + 1)
y = 3 + 6xy = 3(5 x){
p.2122 (1, 2, 3, 8) p.2122 (all)
{unit 4
Example 3:
2022 POI equations.notebook November 19, 2013
Does studying matter?
y = 4xy = 10x 28{ y = 6 2x
y = 3(2x + 4){
y = 3x + 5 + 2xy = 5(2x + 1){ y = 2 4(x 4)
y = 10(2x 3){5. 6.
p.223. 4.
Remembering
7.
a) Draw a fitted a line.
b) How many ice cream cones are predicted to sell if it's 82 degrees? Show or explain your answer.
8.
a) Draw a fitted a line.
b) What kind of correlation does the graph have? Explain your answer.
unit 4
2022 POI equations.notebook November 19, 2013
IF Checking:
Simplify. Solve and check.
2 4(2x 4) 2( x 3) = 413
Box 7 p.1819parent signature
2022 POI equations.notebook November 19, 2013
Company A Equation
m = _________ b = _________ Eq: _______________
Company B Equation
m = _________ b = _________ Eq: _______________
p.19 answer
• Circle the point of intersection in the table.• Label the point of intersection in the graph.
• Now, find the point of intersection using the equations.
• At how many hours will Company A and B cost the same to rent a boat?
• How much will it cost at this time?
2022 POI equations.notebook November 19, 2013
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2022 POI equations.notebook November 19, 2013
p.20
Define:Point of Intersection (P.O.I)
Where the (x, y) are the same for two different equations.
How do you find P.O.I. using the equations?
LT 2b: I can find the point of intersection (P.O.I.) between two equations using their equations.
y = 2x + 1 y = 2x + 9
1.2.3.4.5.6.
Example 1:Find the POI:
y = 2x + 1y = 2x + 9
Simplifyif needed (distribute, like terms)Stopchopchop
add/sub smallest variable from both sides.use inverse operations to solve equation.
{
unit 4
1. Ignore the y and set equations equal to each other.
6. plug x into original equations to find y.
2022 POI equations.notebook November 19, 2013
Find the POI:
y = 4x 12 y = 2(x 4x){
Example 2:
2022 POI equations.notebook November 19, 2013
Find the POI:
p.21
y = 2(3 x)y = 3(4x + 1){
unit 4
Example 3:
2022 POI equations.notebook November 19, 2013
Summary:
Find x. Don't forget to find y.
P.O.I (x, y) is the same for both equations.
2022 POI equations.notebook November 19, 2013
CW p.2122 (1, 2, 3, 8)
P p.2122 (all)
8a) see graph
b) about 36 cones
Quiz Tomorrow
1,2,3
2022 POI equations.notebook November 19, 2013
p.2122 answers
1. (6, 350) 2. (2, 9)
3. (2, 8) 4. (0.75, 7.5)
5. (0, 5) 6. (2, 10)Does studying matter?
a) see graph
b) positive correlation, as hours studying increase, test scores also increase.
a) see graph
b) about 36 cones
8.7.
2022 POI equations.notebook November 19, 2013