minds on the hulk is 9 feet tall. when he stubs his toe he grows to 9.5 feet tall. later that day he...
TRANSCRIPT
Minds On
The Hulk is 9 feet tall. When he stubs his toe he grows to 9.5 feet tall. Later that day he gets angry when the grocery store is out of his favourite food and he grows to 10 feet tall. Come up with an equation that represents the height of the Hulk. Draw a rough sketch of the graph.
How would the graph be affected if the Hulk started out at 8 feet? What is the new equation? Draw the new graph.
How would the graph be affected if each time the Hulk got angry he grew one foot? What is the new equation? Draw the new graph.
Unit 5: Analytic Geometry
The Hulk is 9 feet tall. When he stubs his toe he grows to 9.5 feet tall. Later that day he gets angry when the grocery store is out of his favourite food and he grows to 10 feet tall. Come up with an equation that represents the height of the Hulk. Draw a rough sketch of the graph.
Minds On
Unit 5: Analytic Geometry
How would the graph be affected if the Hulk started out at 8 feet? What is the new equation? Draw the new graph.
Minds On
Unit 5: Analytic Geometry
Minds On
How would the graph be affected if each time the Hulk got angry he grew one foot? What is the new equation? Draw the new graph.
Unit 5: Analytic Geometry
Review – Graphing Lines
Graph the following line using slope/Y-intercept method:
Y = 4x - 2
Unit 5: Analytic Geometry
Graph the following line using slope/Y-intercept method:
Y = -
Review – Graphing Lines
Unit 5: Analytic Geometry
Graph the following line using slope/Y-intercept method:
Y = -4x + 7
Review – Graphing Lines
Unit 5: Analytic Geometry
Graph the following line using slope/Y-intercept method:
Y = -3
Review – Graphing Lines
Unit 5: Analytic Geometry
Graph the following line using slope/Y-intercept method:
Y = -9x + 5
Review – Graphing Lines
Unit 5: Analytic Geometry
Graph the following line using slope/Y-intercept method:
X = 6
Review – Graphing Lines
Unit 5: Analytic Geometry
Learning Goal
• I can determine the equation of a line from information provided in a word problem
• I can use the equation to answer questions associated with the word problem.
Lesson 5: Applications of the Equation of a Line
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Review: What are….
Whole Numbers?
Integer Numbers?
Real Numbers?
The numbers we can count using our fingers (for example, 0, 1, 2, 3)
Just like whole numbers, except negatives are allowed (for example, -2, -1, 0, 1, 2, 3)
All the integers, and fractions too.
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #1 : A cab company charges a $3 boarding rate in addition to its meter which is $2 for every kilometer. A) Write an equation for this relation.
B) How much would a 17 kilometer ride cost?
C) How far can you go with $25?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #1 : A cab company charges a $3 boarding rate in addition to its meter which is $2 for every kilometer.
D) Are there any limits to what values we can use for distance and cost?
E) What kind of numbers are we using?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #2: A printing company prints High School Yearbooks. They charge $50 to set up the printing press. St. David’s uses this company to print their yearbooks. St. David’s prints 1100 yearbooks and their cost is $16 550.
A)Find the cost per yearbook
B)Find the cost to print 975 yearbooks
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #2: A printing company prints High School Yearbooks. They charge $50 to set up the printing press. St. David’s uses this company to print their yearbooks. St. David’s prints 1100 yearbooks and their cost is $16 550.
C) How many yearbooks would St. David’s have printed if their bill came to $22 550?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #3: A 15m long bungee will stretch a certain amount, depending on how much the person doing the jump weighs. The following table tells how much a bungee cord will stretch for certain weights. The stretch is in addition to the original 15m length of the bungee cord.
Weight (lbs)
Stretch (m)
100 2.85120 3.42140 3.99160 4.56180 5.13
A) Write an equation for this relation.
B) How long will the cord be for a person weighing 154lb?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Example #3: A 15m long bungee will stretch a certain amount, depending on how much the person doing the jump weighs. The following table tells how much a bungee cord will stretch for certain weights. The stretch is in addition to the original 15m length of the bungee cord.
Weight (lbs)
Stretch (m)
100 2.85120 3.42140 3.99160 4.56180 5.13
C) If the bridge the bungee jumpers jump from is 25m above the ground, what is the maximum weight a jumper can be?
D) Are there any limits to what values we can use for weight and stretch?
E) What kind of numbers are we using?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Can you think of an example that would only use whole numbers? What about one that would only use integer
numbers?
Unit 5: Analytic Geometry
Lesson 5: Applications of the Equation of a Line
Practice
Page 134 Q# 11, 12abce, 13 - 16