What's Going On? - gilbertmath.com · y = mx + b 1 October 17, 2013 Green Card / Red Card y = mx +...
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y = mx + b 1 October 17, 2013 Green Card / Red Card y = mx + b Real World Practice What's Going On? Learning Goal I will learn how to determine the equation of a line from a graph or table of values.
Transcript of What's Going On? - gilbertmath.com · y = mx + b 1 October 17, 2013 Green Card / Red Card y = mx +...
y = mx + b
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October 17, 2013
Green Card / Red Card
y = mx + b
Real World Practice
What's Going On?
Learning Goal I will learn how to determine the equationof a line from a graph or table of values.
y = mx + b
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October 17, 2013
F.F.M.
A long distance phone plan charges $10 per month plus 10 cents per minute.
Identify:a) Independent Variableb) Dependent Variablec) Initial Valued) Rate of Change
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Incomplete AssignmentsJustine
Thomas
Tristan
Krysta
Zoe
Parker
Ashton
Ethan
Andrew
Noah
Savannah
Josh Y
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F.F.M.Mr. Gilbert was recently at a P.D. session.
Everyone at the session gets paid $142.67 for attending, plus $0.45 per kilometer they have to drive.
Identify:a) Independent Variable - b) Dependent Variable - c) Initial Value - d) Rate of Change -
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Green Card / Red Card
For each of the questions that follow, hold up either your green card or your red card.
If you agree with the statement hold up the green card, if you disagree with the statement hold up the red card.
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Point A has coordinates ﴾3, 2﴿
TRUEThe x-coordinate of the point is 3.
The y-coordinate of the point is -2.
We write points as (x,y)
Touch in the center of the oval
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Point B has coordinates ﴾3, 4﴿
FALSE
The coordinates of the point are reversed!
We always write points as (x,y)
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October 17, 2013
Point C has coordinates ﴾1, 1﴿
TRUEThe x-coordinate of the point is -1.
The y-coordinate of the point is 1.
We write points as (x,y)
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The rate of change is $25/week
TRUE(kind of)
After 6 weeksthe account balance has dropped by $150
150÷6 = 25You may argue the rate is -$25/week
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The initial value is $200
TRUE
After 0 weeks(INITIALLY)the account balance was $200
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The independent variable is Account Balance
FALSE
Account balance depends on the number of weeks.
The independent variable is always on the x-axis!
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A large cheese pizza at Boathouse costs $18, plus $1.50 for every extra topping on the pizza.
The rate of change is $18
FALSEThe price of the pizza increases at a rate of $1.50 per extra topping.
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October 17, 2013
A large cheese pizza at Boathouse $18, plus $1.50 for every extra topping on the pizza.
A pepperoni, mushroom and cheese pizza costs $21.00
TRUEA pepperoni, cheese, mushroom pizza costs:
$18.00 + 2*$1.50= $18.00 + $3.00= $21.00
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October 17, 2013
A large cheese pizza at Boathouse costs $18, plus $1.50 for every extra topping on the pizza.
The rate of change is $1.50
FALSE
The price of a pizza increases at a rate of $1.50 per extra
topping .
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October 17, 2013
Pizza Pizza has a different price structure than Boathouse:
Number of Toppings
0 17.401 19.502 21.603 23.704 25.80
Cost of a Large Pizza
($)
The rate of change is $2.10 per topping
TRUEThe values in the right column of
the table go up by $2.10 each time the number of toppings
increases.
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Pizza Pizza has a different price structure than Boathouse:
The dependent variable is the cost of a large pizza
TRUEThe cost of a large pizza depends
on the number of toppings.
Also, the dependent variable isalways in the right column of a
table of values.
Number of Toppings
0 17.401 19.502 21.603 23.704 25.80
Cost of a Large Pizza
($)
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October 17, 2013
What do the m and b represent?
y = mx + b
y = mx + b
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y = mx + b
+2
+2
+2
+2
Touch!
NOTES
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y = mx + b
-3
-3
-3
-3
Touch!
NOTES
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y = mx + b
2
3ALWAYS START
WITH THE POINT ON THE
LEFT!!!!!
2
2
NOTES
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y = 2xDon't forget to reduce your fractions!!
-4
2
NOTES
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y = mx + b
Equation: y =
-3
4
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y = mx + b
Equation: y =
3
6
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October 17, 2013
slope
• It's just another term for the rate of change!!
NOTES
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NOTES
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NOTES
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NOTES
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• It's just another term for the initial value!!
NOTES yintercept
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Practice
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